7474668509952 has 432 divisors, whose sum is σ = 25184439920640. Its totient is φ = 2088078041088.

The previous prime is 7474668509939. The next prime is 7474668509981. The reversal of 7474668509952 is 2599058664747.

7474668509952 is a `hidden beast` number, since 7 + 4 + 7 + 4 + 6 + 68 + 509 + 9 + 52 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131205058 + ... + 131262014.

Almost surely, 2^{7474668509952} is an apocalyptic number.

7474668509952 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 7474668509952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12592219960320).

7474668509952 is an abundant number, since it is smaller than the sum of its proper divisors (17709771410688).

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

7474668509952 is a wasteful number, since it uses less digits than its factorization.

7474668509952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57168 (or 57151 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 7474668509952 in words is "seven trillion, four hundred seventy-four billion, six hundred sixty-eight million, five hundred nine thousand, nine hundred fifty-two".