7446479040 has 1680 divisors, whose sum is σ = 37082906784. Its totient is φ = 1393459200.

The previous prime is 7446479023. The next prime is 7446479041. The reversal of 7446479040 is 409746447.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7446479041) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 181621420 + ... + 181621460.

Almost surely, 2^7446479040 is an apocalyptic number.

7446479040 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 7446479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18541453392).

7446479040 is an abundant number, since it is smaller than the sum of its proper divisors (29636427744).

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

7446479040 is a wasteful number, since it uses less digits than its factorization.

7446479040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 7446479040 is about 86292.9837240549. The cubic root of 7446479040 is about 1952.7665347006.

The spelling of 7446479040 in words is "seven billion, four hundred forty-six million, four hundred seventy-nine thousand, forty".