39627963648 has 972 divisors, whose sum is σ = 150781857408. Its totient is φ = 9963233280.

The previous prime is 39627963637. The next prime is 39627963649. The reversal of 39627963648 is 84636972693.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39627963649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 591462111 + ... + 591462177.

Almost surely, 2^39627963648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39627963648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75390928704).

39627963648 is an abundant number, since it is smaller than the sum of its proper divisors (111153893760).

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

39627963648 is a wasteful number, since it uses less digits than its factorization.

39627963648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 123 counting only the distinct ones).

The product of its digits is 70543872, while the sum is 63.

The spelling of 39627963648 in words is "thirty-nine billion, six hundred twenty-seven million, nine hundred sixty-three thousand, six hundred forty-eight".