6131633664 has 320 divisors, whose sum is σ = 18698803200. Its totient is φ = 1781784576.

The previous prime is 6131633591. The next prime is 6131633671. The reversal of 6131633664 is 4663361316.

It is a Harshad number since it is a multiple of its sum of digits (39).

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

Its product of digits (139968) is a multiple of the sum of its prime factors (162).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77615577 + ... + 77615655.

It is an arithmetic number, because the mean of its divisors is an integer number (58433760).

Almost surely, 2^6131633664 is an apocalyptic number.

6131633664 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 6131633664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9349401600).

6131633664 is an abundant number, since it is smaller than the sum of its proper divisors (12567169536).

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

6131633664 is an equidigital number, since it uses as much as digits as its factorization.

6131633664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 120 counting only the distinct ones).

The product of its digits is 139968, while the sum is 39.

The square root of 6131633664 is about 78304.7486682640. The cubic root of 6131633664 is about 1830.3131501491.

The spelling of 6131633664 in words is "six billion, one hundred thirty-one million, six hundred thirty-three thousand, six hundred sixty-four".