73878604800 has 1584 divisors, whose sum is σ = 338756818176. Its totient is φ = 13713408000.

The previous prime is 73878604717. The next prime is 73878604801. The reversal of 73878604800 is 840687837.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73878604801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2383180785 + ... + 2383180815.

Almost surely, 2^73878604800 is an apocalyptic number.

73878604800 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 73878604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169378409088).

73878604800 is an abundant number, since it is smaller than the sum of its proper divisors (264878213376).

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

73878604800 is a wasteful number, since it uses less digits than its factorization.

73878604800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 73878604800 in words is "seventy-three billion, eight hundred seventy-eight million, six hundred four thousand, eight hundred".