39642768000 has 768 divisors, whose sum is σ = 160851225600. Its totient is φ = 9268224000.

The previous prime is 39642767981. The next prime is 39642768019. The reversal of 39642768000 is 86724693.

It is an interprime number because it is at equal distance from previous prime (39642767981) and next prime (39642768019).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 45935569 + ... + 45936431.

It is an arithmetic number, because the mean of its divisors is an integer number (209441700).

Almost surely, 2^39642768000 is an apocalyptic number.

39642768000 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 39642768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80425612800).

39642768000 is an abundant number, since it is smaller than the sum of its proper divisors (121208457600).

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

39642768000 is a wasteful number, since it uses less digits than its factorization.

39642768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 39642768000 in words is "thirty-nine billion, six hundred forty-two million, seven hundred sixty-eight thousand".