7910993520 has 960 divisors, whose sum is σ = 32890752000. Its totient is φ = 1737179136.

The previous prime is 7910993483. The next prime is 7910993521. The reversal of 7910993520 is 253990197.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7910993521) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 272792866 + ... + 272792894.

It is an arithmetic number, because the mean of its divisors is an integer number (34261200).

Almost surely, 2^7910993520 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 7910993520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16445376000).

7910993520 is an abundant number, since it is smaller than the sum of its proper divisors (24979758480).

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

7910993520 is a wasteful number, since it uses less digits than its factorization.

7910993520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 7910993520 is about 88943.7660547382. The cubic root of 7910993520 is about 1992.5551145606. Note that the first 3 decimals are identical.

The spelling of 7910993520 in words is "seven billion, nine hundred ten million, nine hundred ninety-three thousand, five hundred twenty".