73956812160 has 256 divisors, whose sum is σ = 293906880000. Its totient is φ = 15367618560.

The previous prime is 73956812131. The next prime is 73956812161. The reversal of 73956812160 is 6121865937.

It is a super-2 number, since 2×73956812160² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73956812161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102285 + ... + 397964.

It is an arithmetic number, because the mean of its divisors is an integer number (1148073750).

Almost surely, 2^73956812160 is an apocalyptic number.

73956812160 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 73956812160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146953440000).

73956812160 is an abundant number, since it is smaller than the sum of its proper divisors (219950067840).

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

73956812160 is a wasteful number, since it uses less digits than its factorization.

73956812160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500289 (or 500277 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 73956812160 in words is "seventy-three billion, nine hundred fifty-six million, eight hundred twelve thousand, one hundred sixty".