74913669072 has 1080 divisors, whose sum is σ = 276442202400. Its totient is φ = 19543265280.

The previous prime is 74913669067. The next prime is 74913669119. The reversal of 74913669072 is 27096631947.

It is a happy number.

74913669072 is a `hidden beast` number, since 7 + 491 + 3 + 66 + 90 + 7 + 2 = 666.

It is a super-2 number, since 2×74913669072² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2583229954 + ... + 2583229982.

Almost surely, 2^74913669072 is an apocalyptic number.

74913669072 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 74913669072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138221101200).

74913669072 is an abundant number, since it is smaller than the sum of its proper divisors (201528533328).

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

74913669072 is a wasteful number, since it uses less digits than its factorization.

74913669072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 74913669072 in words is "seventy-four billion, nine hundred thirteen million, six hundred sixty-nine thousand, seventy-two".