39680613840 has 320 divisors, whose sum is σ = 154418688000. Its totient is φ = 8218755072.

The previous prime is 39680613827. The next prime is 39680613857. The reversal of 39680613840 is 4831608693.

It is a super-2 number, since 2×39680613840² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 39680613840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 707136 + ... + 761184.

It is an arithmetic number, because the mean of its divisors is an integer number (482558400).

Almost surely, 2^39680613840 is an apocalyptic number.

39680613840 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 39680613840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77209344000).

39680613840 is an abundant number, since it is smaller than the sum of its proper divisors (114738074160).

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

39680613840 is a wasteful number, since it uses less digits than its factorization.

39680613840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54114 (or 54108 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 39680613840 in words is "thirty-nine billion, six hundred eighty million, six hundred thirteen thousand, eight hundred forty".