39793904640 has 1408 divisors, whose sum is σ = 178275686400. Its totient is φ = 8210350080.

The previous prime is 39793904567. The next prime is 39793904707. The reversal of 39793904640 is 4640939793.

39793904640 is a `hidden beast` number, since 3 + 9 + 7 + 93 + 90 + 464 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 674472931 + ... + 674472989.

Almost surely, 2^39793904640 is an apocalyptic number.

39793904640 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 39793904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89137843200).

39793904640 is an abundant number, since it is smaller than the sum of its proper divisors (138481781760).

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

39793904640 is a wasteful number, since it uses less digits than its factorization.

39793904640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 39793904640 in words is "thirty-nine billion, seven hundred ninety-three million, nine hundred four thousand, six hundred forty".