73245634560 has 832 divisors, whose sum is σ = 301953024000. Its totient is φ = 16498556928.

The previous prime is 73245634559. The next prime is 73245634571. The reversal of 73245634560 is 6543654237.

73245634560 is a `hidden beast` number, since 7 + 3 + 2 + 4 + 5 + 634 + 5 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 491581366 + ... + 491581514.

Almost surely, 2^73245634560 is an apocalyptic number.

73245634560 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 73245634560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150976512000).

73245634560 is an abundant number, since it is smaller than the sum of its proper divisors (228707389440).

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

73245634560 is a wasteful number, since it uses less digits than its factorization.

73245634560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 73245634560 in words is "seventy-three billion, two hundred forty-five million, six hundred thirty-four thousand, five hundred sixty".