39978864576 has 224 divisors, whose sum is σ = 134892288000. Its totient is φ = 11373917184.

The previous prime is 39978864509. The next prime is 39978864581. The reversal of 39978864576 is 67546887993.

39978864576 is a `hidden beast` number, since 3 + 9 + 97 + 8 + 86 + 457 + 6 = 666.

39978864576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×39978864576² (a number of 22 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 31 ways as a sum of consecutive naturals, for example, 2884030 + ... + 2897858.

Almost surely, 2^39978864576 is an apocalyptic number.

39978864576 is a gapful number since it is divisible by the number (36) 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 39978864576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67446144000).

39978864576 is an abundant number, since it is smaller than the sum of its proper divisors (94913423424).

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

39978864576 is a wasteful number, since it uses less digits than its factorization.

39978864576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14096 (or 14080 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 72.

The spelling of 39978864576 in words is "thirty-nine billion, nine hundred seventy-eight million, eight hundred sixty-four thousand, five hundred seventy-six".