73187880480 has 1920 divisors, whose sum is σ = 338587070976. Its totient is φ = 14598144000.

The previous prime is 73187880473. The next prime is 73187880529. The reversal of 73187880480 is 8408878137.

73187880480 is a `hidden beast` number, since 7 + 3 + 1 + 87 + 8 + 80 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 724632430 + ... + 724632530.

Almost surely, 2^73187880480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73187880480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169293535488).

73187880480 is an abundant number, since it is smaller than the sum of its proper divisors (265399190496).

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

73187880480 is a wasteful number, since it uses less digits than its factorization.

73187880480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 73187880480 in words is "seventy-three billion, one hundred eighty-seven million, eight hundred eighty thousand, four hundred eighty".