7900611264 has 448 divisors, whose sum is σ = 29221785600. Its totient is φ = 2037436416.

The previous prime is 7900611253. The next prime is 7900611307. The reversal of 7900611264 is 4621160097.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7390122 + ... + 7391190.

It is an arithmetic number, because the mean of its divisors is an integer number (65227200).

Almost surely, 2^7900611264 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 7900611264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14610892800).

7900611264 is an abundant number, since it is smaller than the sum of its proper divisors (21321174336).

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

7900611264 is a wasteful number, since it uses less digits than its factorization.

7900611264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 7900611264 is about 88885.3827352957. The cubic root of 7900611264 is about 1991.6830675921.

The spelling of 7900611264 in words is "seven billion, nine hundred million, six hundred eleven thousand, two hundred sixty-four".