639140646144 has 1728 divisors, whose sum is σ = 2511981158400. Its totient is φ = 142086389760.

The previous prime is 639140646077. The next prime is 639140646247. The reversal of 639140646144 is 441646041936.

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

It is a junction number, because it is equal to n+sod(n) for n = 639140646093 and 639140646102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13598737129 + ... + 13598737175.

It is an arithmetic number, because the mean of its divisors is an integer number (1453692800).

Almost surely, 2^639140646144 is an apocalyptic number.

639140646144 is a gapful number since it is divisible by the number (64) 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 639140646144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255990579200).

639140646144 is an abundant number, since it is smaller than the sum of its proper divisors (1872840512256).

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

639140646144 is a wasteful number, since it uses less digits than its factorization.

639140646144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 639140646144 in words is "six hundred thirty-nine billion, one hundred forty million, six hundred forty-six thousand, one hundred forty-four".