74747534400 has 1344 divisors, whose sum is σ = 354851573760. Its totient is φ = 14841446400.

The previous prime is 74747534399. The next prime is 74747534443. The reversal of 74747534400 is 443574747.

74747534400 is a `hidden beast` number, since 7 + 4 + 74 + 7 + 534 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 76506712 + ... + 76507688.

Almost surely, 2^74747534400 is an apocalyptic number.

74747534400 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 74747534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177425786880).

74747534400 is an abundant number, since it is smaller than the sum of its proper divisors (280104039360).

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

74747534400 is a wasteful number, since it uses less digits than its factorization.

74747534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 45.

It can be divided in two parts, 747475 and 34400, that added together give a triangular number (781875 = T₁₂₅₀).

The spelling of 74747534400 in words is "seventy-four billion, seven hundred forty-seven million, five hundred thirty-four thousand, four hundred".