73057393704960 has 816 divisors, whose sum is σ = 300166674365376. Its totient is φ = 16698832846848.

The previous prime is 73057393704929. The next prime is 73057393704979. The reversal of 73057393704960 is 6940739375037.

It is a Jordan-Polya number, since it can be written as 9! ⋅ 4! ⋅ (2!)²³.

73057393704960 is a `hidden beast` number, since 7 + 3 + 0 + 5 + 73 + 9 + 3 + 70 + 496 + 0 = 666.

It is a super-3 number, since 3×73057393704960³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10436770529277 + ... + 10436770529283.

Almost surely, 2^{73057393704960} is an apocalyptic number.

73057393704960 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 73057393704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150083337182688).

73057393704960 is an abundant number, since it is smaller than the sum of its proper divisors (227109280660416).

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

73057393704960 is an frugal number, since it uses more digits than its factorization.

73057393704960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 90016920, while the sum is 63.

The spelling of 73057393704960 in words is "seventy-three trillion, fifty-seven billion, three hundred ninety-three million, seven hundred four thousand, nine hundred sixty".