39999024264672 has 768 divisors, whose sum is σ = 137214856396800. Its totient is φ = 11219275008000.

The previous prime is 39999024264611. The next prime is 39999024264697. The reversal of 39999024264672 is 27646242099993.

39999024264672 is a `hidden beast` number, since 3 + 9 + 9 + 9 + 90 + 2 + 426 + 46 + 72 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 39999024264672.

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, 643133097 + ... + 643195287.

It is an arithmetic number, because the mean of its divisors is an integer number (178665177600).

Almost surely, 2^{39999024264672} is an apocalyptic number.

39999024264672 is a gapful number since it is divisible by the number (32) 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 39999024264672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68607428198400).

39999024264672 is an abundant number, since it is smaller than the sum of its proper divisors (97215832132128).

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

39999024264672 is a wasteful number, since it uses less digits than its factorization.

39999024264672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62348 (or 62334 counting only the distinct ones).

The product of its (nonzero) digits is 634894848, while the sum is 72.

The spelling of 39999024264672 in words is "thirty-nine trillion, nine hundred ninety-nine billion, twenty-four million, two hundred sixty-four thousand, six hundred seventy-two".