74612901600 has 576 divisors, whose sum is σ = 284561786880. Its totient is φ = 18830592000.

The previous prime is 74612901533. The next prime is 74612901613. The reversal of 74612901600 is 610921647.

74612901600 is a `hidden beast` number, since 7 + 46 + 1 + 2 + 9 + 0 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 50176057 + ... + 50177543.

It is an arithmetic number, because the mean of its divisors is an integer number (494030880).

Almost surely, 2^74612901600 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 74612901600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142280893440).

74612901600 is an abundant number, since it is smaller than the sum of its proper divisors (209948885280).

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

74612901600 is a wasteful number, since it uses less digits than its factorization.

74612901600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 74612901600 in words is "seventy-four billion, six hundred twelve million, nine hundred one thousand, six hundred".