74113250400 has 864 divisors, whose sum is σ = 313247450880. Its totient is φ = 16748881920.

The previous prime is 74113250381. The next prime is 74113250411. The reversal of 74113250400 is 405231147.

74113250400 is a `hidden beast` number, since 7 + 4 + 1 + 1 + 3 + 250 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 145605346 + ... + 145605854.

It is an arithmetic number, because the mean of its divisors is an integer number (362554920).

Almost surely, 2^74113250400 is an apocalyptic number.

74113250400 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 74113250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156623725440).

74113250400 is an abundant number, since it is smaller than the sum of its proper divisors (239134200480).

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

74113250400 is a wasteful number, since it uses less digits than its factorization.

74113250400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 74113250400 its reverse (405231147), we get a palindrome (74518481547).

The spelling of 74113250400 in words is "seventy-four billion, one hundred thirteen million, two hundred fifty thousand, four hundred".