73470504038400 has 7488 divisors, whose sum is σ = 370151001676800. Its totient is φ = 14126331985920.

The previous prime is 73470504038359. The next prime is 73470504038429. The reversal of 73470504038400 is 483040507437.

73470504038400 is a `hidden beast` number, since 7 + 3 + 4 + 70 + 504 + 0 + 38 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1006445260764 + ... + 1006445260836.

Almost surely, 2^{73470504038400} is an apocalyptic number.

73470504038400 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 73470504038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185075500838400).

73470504038400 is an abundant number, since it is smaller than the sum of its proper divisors (296680497638400).

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

73470504038400 is a wasteful number, since it uses less digits than its factorization.

73470504038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 73470504038400 in words is "seventy-three trillion, four hundred seventy billion, five hundred four million, thirty-eight thousand, four hundred".