7620480000 has 990 divisors, whose sum is σ = 33169972836. Its totient is φ = 1741824000.

The previous prime is 7620479987. The next prime is 7620480041. The reversal of 7620480000 is 840267.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1088639997 + ... + 1088640003.

Almost surely, 2^7620480000 is an apocalyptic number.

7620480000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7620480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16584986418).

7620480000 is an abundant number, since it is smaller than the sum of its proper divisors (25549492836).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7620480000 is an frugal number, since it uses more digits than its factorization.

7620480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 7620480000 is about 87295.3607014714. The cubic root of 7620480000 is about 1967.8595973601.

Multiplying 7620480000 by its sum of digits (27), we get a square (205752960000 = 453600²).

7620480000 divided by its sum of digits (27) gives a square (282240000 = 16800²).

The spelling of 7620480000 in words is "seven billion, six hundred twenty million, four hundred eighty thousand".