73551972970944 has 840 divisors, whose sum is σ = 241875002485248. Its totient is φ = 22083053690880.

The previous prime is 73551972970921. The next prime is 73551972970963. The reversal of 73551972970944 is 44907927915537.

73551972970944 is a `hidden beast` number, since 7 + 3 + 551 + 9 + 7 + 29 + 7 + 0 + 9 + 44 = 666.

It is a super-2 number, since 2×73551972970944² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6787110294 + ... + 6787121130.

Almost surely, 2^{73551972970944} 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 73551972970944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120937501242624).

73551972970944 is an abundant number, since it is smaller than the sum of its proper divisors (168323029514304).

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

73551972970944 is a wasteful number, since it uses less digits than its factorization.

73551972970944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11075 (or 11043 counting only the distinct ones).

The product of its (nonzero) digits is 600112800, while the sum is 72.

The spelling of 73551972970944 in words is "seventy-three trillion, five hundred fifty-one billion, nine hundred seventy-two million, nine hundred seventy thousand, nine hundred forty-four".