73148980800 has 168 divisors, whose sum is σ = 274273971136. Its totient is φ = 16719759360.

The previous prime is 73148980799. The next prime is 73148980819. The reversal of 73148980800 is 808984137.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 73148980800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1054927 + ... + 1122126.

Almost surely, 2^73148980800 is an apocalyptic number.

73148980800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

73148980800 is an abundant number, since it is smaller than the sum of its proper divisors (201124990336).

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

73148980800 is a wasteful number, since it uses less digits than its factorization.

73148980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177085 (or 2177070 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 73148980800 in words is "seventy-three billion, one hundred forty-eight million, nine hundred eighty thousand, eight hundred".