73292532480 has 864 divisors, whose sum is σ = 283487952384. Its totient is φ = 18064539648.

The previous prime is 73292532479. The next prime is 73292532517. The reversal of 73292532480 is 8423529237.

73292532480 is a `hidden beast` number, since 7 + 32 + 9 + 2 + 532 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 438877357 + ... + 438877523.

It is an arithmetic number, because the mean of its divisors is an integer number (328111056).

Almost surely, 2^73292532480 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 73292532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141743976192).

73292532480 is an abundant number, since it is smaller than the sum of its proper divisors (210195419904).

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

73292532480 is a wasteful number, since it uses less digits than its factorization.

73292532480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 73292532480 in words is "seventy-three billion, two hundred ninety-two million, five hundred thirty-two thousand, four hundred eighty".