39713496480 has 720 divisors, whose sum is σ = 170189268480. Its totient is φ = 8679508992.

The previous prime is 39713496479. The next prime is 39713496497. The reversal of 39713496480 is 8469431793.

It is a happy number.

39713496480 is a `hidden beast` number, since 3 + 9 + 71 + 3 + 4 + 96 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

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, 14604561 + ... + 14607279.

It is an arithmetic number, because the mean of its divisors is an integer number (236373984).

Almost surely, 2^39713496480 is an apocalyptic number.

39713496480 is a gapful number since it is divisible by the number (30) 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 39713496480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85094634240).

39713496480 is an abundant number, since it is smaller than the sum of its proper divisors (130475772000).

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

39713496480 is a wasteful number, since it uses less digits than its factorization.

39713496480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 39713496480 in words is "thirty-nine billion, seven hundred thirteen million, four hundred ninety-six thousand, four hundred eighty".