74545932960 has 960 divisors, whose sum is σ = 297804874752. Its totient is φ = 17459380224.

The previous prime is 74545932959. The next prime is 74545932971. The reversal of 74545932960 is 6923954547.

74545932960 is a `hidden beast` number, since 7 + 4 + 545 + 9 + 3 + 2 + 96 + 0 = 666.

It is a super-2 number, since 2×74545932960² (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 junction number, because it is equal to n+sod(n) for n = 74545932897 and 74545932906.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 238165764 + ... + 238166076.

Almost surely, 2^74545932960 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 74545932960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148902437376).

74545932960 is an abundant number, since it is smaller than the sum of its proper divisors (223258941792).

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

74545932960 is a wasteful number, since it uses less digits than its factorization.

74545932960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 74545932960 in words is "seventy-four billion, five hundred forty-five million, nine hundred thirty-two thousand, nine hundred sixty".