7974785952 has 576 divisors, whose sum is σ = 29255675904. Its totient is φ = 2007244800.

The previous prime is 7974785933. The next prime is 7974785953. The reversal of 7974785952 is 2595874797.

7974785952 is a `hidden beast` number, since 79 + 7 + 478 + 5 + 95 + 2 = 666.

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

Its product of digits (44452800) is a multiple of the sum of its prime divisors (270).

It is a self number, because there is not a number n which added to its sum of digits gives 7974785952.

It is not an unprimeable number, because it can be changed into a prime (7974785953) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 52813077 + ... + 52813227.

It is an arithmetic number, because the mean of its divisors is an integer number (50791104).

Almost surely, 2^7974785952 is an apocalyptic number.

7974785952 is a gapful number since it is divisible by the number (72) 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 7974785952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14627837952).

7974785952 is an abundant number, since it is smaller than the sum of its proper divisors (21280889952).

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

7974785952 is a wasteful number, since it uses less digits than its factorization.

7974785952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 270 counting only the distinct ones).

The product of its digits is 44452800, while the sum is 63.

The square root of 7974785952 is about 89301.6570506953. The cubic root of 7974785952 is about 1997.8966180009.

The spelling of 7974785952 in words is "seven billion, nine hundred seventy-four million, seven hundred eighty-five thousand, nine hundred fifty-two".