74725221542400 has 4320 divisors, whose sum is σ = 339581529391104. Its totient is φ = 15532425216000.

The previous prime is 74725221542393. The next prime is 74725221542497. The reversal of 74725221542400 is 424512252747.

74725221542400 is a `hidden beast` number, since 7 + 4 + 7 + 2 + 5 + 2 + 215 + 424 + 0 + 0 = 666.

It is a super-2 number, since 2×74725221542400² (a number of 29 digits) contains 22 as substring.

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 431 ways as a sum of consecutive naturals, for example, 391231526305 + ... + 391231526495.

Almost surely, 2^{74725221542400} 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 74725221542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169790764695552).

74725221542400 is an abundant number, since it is smaller than the sum of its proper divisors (264856307848704).

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

74725221542400 is a wasteful number, since it uses less digits than its factorization.

74725221542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 45.

The spelling of 74725221542400 in words is "seventy-four trillion, seven hundred twenty-five billion, two hundred twenty-one million, five hundred forty-two thousand, four hundred".