6381152629824 has 448 divisors, whose sum is σ = 21313121955840. Its totient is φ = 1644614737920.

The previous prime is 6381152629811. The next prime is 6381152629879. The reversal of 6381152629824 is 4289262511836.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38464494 + ... + 38630034.

Almost surely, 2^{6381152629824} is an apocalyptic number.

6381152629824 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 6381152629824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10656560977920).

6381152629824 is an abundant number, since it is smaller than the sum of its proper divisors (14931969326016).

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

6381152629824 is a wasteful number, since it uses less digits than its factorization.

6381152629824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165658 (or 165648 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 57.

The spelling of 6381152629824 in words is "six trillion, three hundred eighty-one billion, one hundred fifty-two million, six hundred twenty-nine thousand, eight hundred twenty-four".