7864362720 has 216 divisors, whose sum is σ = 27735657768. Its totient is φ = 2029155840.

The previous prime is 7864362703. The next prime is 7864362743. The reversal of 7864362720 is 272634687.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1380999 + ... + 1386681.

It is an arithmetic number, because the mean of its divisors is an integer number (128405823).

Almost surely, 2^7864362720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7864362720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13867828884).

7864362720 is an abundant number, since it is smaller than the sum of its proper divisors (19871295048).

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

7864362720 is a wasteful number, since it uses less digits than its factorization.

7864362720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5766 (or 5724 counting only the distinct ones).

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

The square root of 7864362720 is about 88681.2422105148. The cubic root of 7864362720 is about 1988.6324046333.

The spelling of 7864362720 in words is "seven billion, eight hundred sixty-four million, three hundred sixty-two thousand, seven hundred twenty".