74286529920 has 512 divisors, whose sum is σ = 277404912000. Its totient is φ = 18759057408.

The previous prime is 74286529901. The next prime is 74286529937. The reversal of 74286529920 is 2992568247.

74286529920 is a `hidden beast` number, since 7 + 4 + 28 + 6 + 529 + 92 + 0 = 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 congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 26557962 + ... + 26560758.

Almost surely, 2^74286529920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74286529920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138702456000).

74286529920 is an abundant number, since it is smaller than the sum of its proper divisors (203118382080).

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

74286529920 is a wasteful number, since it uses less digits than its factorization.

74286529920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 74286529920 in words is "seventy-four billion, two hundred eighty-six million, five hundred twenty-nine thousand, nine hundred twenty".