7979724232704 has 1344 divisors, whose sum is σ = 28655369870400. Its totient is φ = 2172458631168.

The previous prime is 7979724232693. The next prime is 7979724232747. The reversal of 7979724232704 is 4072324279797.

7979724232704 is a `hidden beast` number, since 7 + 9 + 79 + 72 + 423 + 2 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 34247743372 + ... + 34247743604.

It is an arithmetic number, because the mean of its divisors is an integer number (21320959725).

Almost surely, 2^{7979724232704} 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 7979724232704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14327684935200).

7979724232704 is an abundant number, since it is smaller than the sum of its proper divisors (20675645637696).

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

7979724232704 is a wasteful number, since it uses less digits than its factorization.

7979724232704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 74680704, while the sum is 63.

The spelling of 7979724232704 in words is "seven trillion, nine hundred seventy-nine billion, seven hundred twenty-four million, two hundred thirty-two thousand, seven hundred four".