7900532640 has 1728 divisors, whose sum is σ = 39527429760. Its totient is φ = 1463132160.

The previous prime is 7900532617. The next prime is 7900532711. The reversal of 7900532640 is 462350097.

7900532640 is a `hidden beast` number, since 7 + 9 + 0 + 0 + 5 + 3 + 2 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7900532595 and 7900532604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 272432146 + ... + 272432174.

It is an arithmetic number, because the mean of its divisors is an integer number (22874670).

Almost surely, 2^7900532640 is an apocalyptic number.

7900532640 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 7900532640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19763714880).

7900532640 is an abundant number, since it is smaller than the sum of its proper divisors (31626897120).

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

7900532640 is a wasteful number, since it uses less digits than its factorization.

7900532640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 7900532640 is about 88884.9404567500. The cubic root of 7900532640 is about 1991.6764607359.

The spelling of 7900532640 in words is "seven billion, nine hundred million, five hundred thirty-two thousand, six hundred forty".