73674518400 has 1728 divisors, whose sum is σ = 336554552880. Its totient is φ = 15235153920.

The previous prime is 73674518381. The next prime is 73674518429. The reversal of 73674518400 is 481547637.

73674518400 is a `hidden beast` number, since 73 + 67 + 4 + 518 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×73674518400² (a number of 23 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 887644759 + ... + 887644841.

Almost surely, 2^73674518400 is an apocalyptic number.

73674518400 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 73674518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168277276440).

73674518400 is an abundant number, since it is smaller than the sum of its proper divisors (262880034480).

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

73674518400 is a wasteful number, since it uses less digits than its factorization.

73674518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 73674518400 in words is "seventy-three billion, six hundred seventy-four million, five hundred eighteen thousand, four hundred".