7952907724002 has 128 divisors (see below), whose sum is σ = 18183156203520. Its totient is φ = 2575048164480.

The previous prime is 7952907723949. The next prime is 7952907724007. The reversal of 7952907724002 is 2004277092597.

It is a happy number.

7952907724002 is a `hidden beast` number, since 7 + 9 + 529 + 0 + 7 + 72 + 40 + 0 + 2 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 7952907724002.

It is not an unprimeable number, because it can be changed into a prime (7952907724007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 668137183 + ... + 668149085.

It is an arithmetic number, because the mean of its divisors is an integer number (142055907840).

Almost surely, 2^{7952907724002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7952907724002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9091578101760).

7952907724002 is an abundant number, since it is smaller than the sum of its proper divisors (10230248479518).

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

7952907724002 is a wasteful number, since it uses less digits than its factorization.

7952907724002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13245 (or 13239 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 7952907724002 in words is "seven trillion, nine hundred fifty-two billion, nine hundred seven million, seven hundred twenty-four thousand, two".