39791396668032 has 768 divisors, whose sum is σ = 120679663104000. Its totient is φ = 12574033920000.

The previous prime is 39791396668013. The next prime is 39791396668033. The reversal of 39791396668032 is 23086669319793.

It is a happy number.

It is a super-2 number, since 2×39791396668032² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (39791396668033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90640994469 + ... + 90640994907.

It is an arithmetic number, because the mean of its divisors is an integer number (157134978000).

Almost surely, 2^{39791396668032} is an apocalyptic number.

39791396668032 is a gapful number since it is divisible by the number (32) 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 39791396668032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60339831552000).

39791396668032 is an abundant number, since it is smaller than the sum of its proper divisors (80888266435968).

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

39791396668032 is a wasteful number, since it uses less digits than its factorization.

39791396668032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 476171136, while the sum is 72.

The spelling of 39791396668032 in words is "thirty-nine trillion, seven hundred ninety-one billion, three hundred ninety-six million, six hundred sixty-eight thousand, thirty-two".