73904140800 has 1200 divisors, whose sum is σ = 331540387200. Its totient is φ = 15872163840.

The previous prime is 73904140757. The next prime is 73904140801. The reversal of 73904140800 is 804140937.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (73904140801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 123378901 + ... + 123379499.

It is an arithmetic number, because the mean of its divisors is an integer number (276283656).

Almost surely, 2^73904140800 is an apocalyptic number.

73904140800 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 73904140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165770193600).

73904140800 is an abundant number, since it is smaller than the sum of its proper divisors (257636246400).

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

73904140800 is a wasteful number, since it uses less digits than its factorization.

73904140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 73904140800 in words is "seventy-three billion, nine hundred four million, one hundred forty thousand, eight hundred".