74579601600 has 1008 divisors, whose sum is σ = 323889745920. Its totient is φ = 15908659200.

The previous prime is 74579601557. The next prime is 74579601643. The reversal of 74579601600 is 610697547.

It is a happy number.

74579601600 is a `hidden beast` number, since 7 + 4 + 579 + 60 + 16 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (74579601557) and next prime (74579601643).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 90618789 + ... + 90619611.

Almost surely, 2^74579601600 is an apocalyptic number.

74579601600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74579601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161944872960).

74579601600 is an abundant number, since it is smaller than the sum of its proper divisors (249310144320).

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

74579601600 is a wasteful number, since it uses less digits than its factorization.

74579601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 74579601600 in words is "seventy-four billion, five hundred seventy-nine million, six hundred one thousand, six hundred".