39675793920 has 960 divisors, whose sum is σ = 161218252800. Its totient is φ = 8267857920.

The previous prime is 39675793919. The next prime is 39675793933. The reversal of 39675793920 is 2939757693.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 221652391 + ... + 221652569.

It is an arithmetic number, because the mean of its divisors is an integer number (167935680).

Almost surely, 2^39675793920 is an apocalyptic number.

39675793920 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 39675793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80609126400).

39675793920 is an abundant number, since it is smaller than the sum of its proper divisors (121542458880).

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

39675793920 is a wasteful number, since it uses less digits than its factorization.

39675793920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 19289340, while the sum is 60.

The spelling of 39675793920 in words is "thirty-nine billion, six hundred seventy-five million, seven hundred ninety-three thousand, nine hundred twenty".