74902264401600 has 2352 divisors, whose sum is σ = 291464201826336. Its totient is φ = 18919194624000.

The previous prime is 74902264401589. The next prime is 74902264401607. The reversal of 74902264401600 is 610446220947.

74902264401600 is a `hidden beast` number, since 7 + 49 + 0 + 2 + 2 + 6 + 440 + 160 + 0 = 666.

It is a super-2 number, since 2×74902264401600² (a number of 29 digits) contains 22 as substring.

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 (74902264401607) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 310797777480 + ... + 310797777720.

It is an arithmetic number, because the mean of its divisors is an integer number (123921854518).

Almost surely, 2^{74902264401600} 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 74902264401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145732100913168).

74902264401600 is an abundant number, since it is smaller than the sum of its proper divisors (216561937424736).

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

74902264401600 is a wasteful number, since it uses less digits than its factorization.

74902264401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 74902264401600 in words is "seventy-four trillion, nine hundred two billion, two hundred sixty-four million, four hundred one thousand, six hundred".