7525377664 has 96 divisors (see below), whose sum is σ = 17539675200. Its totient is φ = 3206665728.

The previous prime is 7525377637. The next prime is 7525377697. The reversal of 7525377664 is 4667735257.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1119337 + ... + 1126039.

It is an arithmetic number, because the mean of its divisors is an integer number (182704950).

Almost surely, 2^7525377664 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 7525377664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8769837600).

7525377664 is an abundant number, since it is smaller than the sum of its proper divisors (10014297536).

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

7525377664 is a wasteful number, since it uses less digits than its factorization.

7525377664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6910 (or 6891 counting only the distinct ones).

The product of its digits is 7408800, while the sum is 52.

The square root of 7525377664 is about 86748.9346562827. The cubic root of 7525377664 is about 1959.6391172304.

The spelling of 7525377664 in words is "seven billion, five hundred twenty-five million, three hundred seventy-seven thousand, six hundred sixty-four".