39472468992 has 924 divisors, whose sum is σ = 142833764640. Its totient is φ = 10839121920.

The previous prime is 39472468979. The next prime is 39472468993. The reversal of 39472468992 is 29986427493.

39472468992 is a `hidden beast` number, since 39 + 472 + 46 + 8 + 9 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39472468993) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1716194293 + ... + 1716194315.

Almost surely, 2^39472468992 is an apocalyptic number.

39472468992 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 39472468992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71416882320).

39472468992 is an abundant number, since it is smaller than the sum of its proper divisors (103361295648).

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

39472468992 is a wasteful number, since it uses less digits than its factorization.

39472468992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 58 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The spelling of 39472468992 in words is "thirty-nine billion, four hundred seventy-two million, four hundred sixty-eight thousand, nine hundred ninety-two".