72644640501654 has 256 divisors, whose sum is σ = 183472098969600. Its totient is φ = 21121245849600.

The previous prime is 72644640501611. The next prime is 72644640501721. The reversal of 72644640501654 is 45610504644627.

72644640501654 is a `hidden beast` number, since 7 + 2 + 6 + 4 + 46 + 40 + 501 + 6 + 54 = 666.

It is a super-2 number, since 2×72644640501654² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 72644640501654.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15850890247 + ... + 15850894829.

It is an arithmetic number, because the mean of its divisors is an integer number (716687886600).

Almost surely, 2^{72644640501654} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72644640501654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91736049484800).

72644640501654 is an abundant number, since it is smaller than the sum of its proper divisors (110827458467946).

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

72644640501654 is a wasteful number, since it uses less digits than its factorization.

72644640501654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7428 (or 7422 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 54.

The spelling of 72644640501654 in words is "seventy-two trillion, six hundred forty-four billion, six hundred forty million, five hundred one thousand, six hundred fifty-four".