7989652629504 has 2016 divisors, whose sum is σ = 31088218936320. Its totient is φ = 2031663513600.

The previous prime is 7989652629493. The next prime is 7989652629521. The reversal of 7989652629504 is 4059262569897.

7989652629504 is a `hidden beast` number, since 7 + 9 + 8 + 9 + 6 + 52 + 62 + 9 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 29482112889 + ... + 29482113159.

It is an arithmetic number, because the mean of its divisors is an integer number (15420743520).

Almost surely, 2^{7989652629504} 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 7989652629504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15544109468160).

7989652629504 is an abundant number, since it is smaller than the sum of its proper divisors (23098566306816).

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

7989652629504 is a wasteful number, since it uses less digits than its factorization.

7989652629504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 7989652629504 in words is "seven trillion, nine hundred eighty-nine billion, six hundred fifty-two million, six hundred twenty-nine thousand, five hundred four".