74661945600 has 432 divisors, whose sum is σ = 269854603200. Its totient is φ = 18028953600.

The previous prime is 74661945593. The next prime is 74661945607. The reversal of 74661945600 is 654916647.

It is an interprime number because it is at equal distance from previous prime (74661945593) and next prime (74661945607).

It is a super-2 number, since 2×74661945600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 74661945600.

It is not an unprimeable number, because it can be changed into a prime (74661945607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71173876 + ... + 71174924.

Almost surely, 2^74661945600 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 74661945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134927301600).

74661945600 is an abundant number, since it is smaller than the sum of its proper divisors (195192657600).

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

74661945600 is a wasteful number, since it uses less digits than its factorization.

74661945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 74661945600 in words is "seventy-four billion, six hundred sixty-one million, nine hundred forty-five thousand, six hundred".