639023099904000 has 6144 divisors, whose sum is σ = 2978840783093760. Its totient is φ = 128421199872000.

The previous prime is 639023099903939. The next prime is 639023099904011. The reversal of 639023099904000 is 409990320936.

639023099904000 is a `hidden beast` number, since 6 + 39 + 0 + 2 + 30 + 99 + 90 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5031677951937 + ... + 5031677952063.

It is an arithmetic number, because the mean of its divisors is an integer number (484837367040).

Almost surely, 2^{639023099904000} is an apocalyptic number.

639023099904000 is a gapful number since it is divisible by the number (60) 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 639023099904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489420391546880).

639023099904000 is an abundant number, since it is smaller than the sum of its proper divisors (2339817683189760).

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

639023099904000 is a wasteful number, since it uses less digits than its factorization.

639023099904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 2834352, while the sum is 54.

The spelling of 639023099904000 in words is "six hundred thirty-nine trillion, twenty-three billion, ninety-nine million, nine hundred four thousand".