74967552000 has 1664 divisors, whose sum is σ = 331204723200. Its totient is φ = 16515072000.

The previous prime is 74967551987. The next prime is 74967552001. The reversal of 74967552000 is 25576947.

74967552000 is a `hidden beast` number, since 7 + 4 + 96 + 7 + 552 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (74967552001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2585087986 + ... + 2585088014.

It is an arithmetic number, because the mean of its divisors is an integer number (199041300).

Almost surely, 2^74967552000 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 74967552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165602361600).

74967552000 is an abundant number, since it is smaller than the sum of its proper divisors (256237171200).

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

74967552000 is a wasteful number, since it uses less digits than its factorization.

74967552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 74967552000 in words is "seventy-four billion, nine hundred sixty-seven million, five hundred fifty-two thousand".