74891261952 has 576 divisors, whose sum is σ = 247269335040. Its totient is φ = 21663645696.

The previous prime is 74891261947. The next prime is 74891261981. The reversal of 74891261952 is 25916219847.

It is a happy number.

74891261952 is a `hidden beast` number, since 7 + 4 + 8 + 9 + 12 + 619 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×74891261952² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 589694913 + ... + 589695039.

It is an arithmetic number, because the mean of its divisors is an integer number (429287040).

Almost surely, 2^74891261952 is an apocalyptic number.

74891261952 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 74891261952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123634667520).

74891261952 is an abundant number, since it is smaller than the sum of its proper divisors (172378073088).

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

74891261952 is a wasteful number, since it uses less digits than its factorization.

74891261952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 275 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 74891261952 in words is "seventy-four billion, eight hundred ninety-one million, two hundred sixty-one thousand, nine hundred fifty-two".