6431630364192 has 288 divisors, whose sum is σ = 19185781063680. Its totient is φ = 1883177049600.

The previous prime is 6431630364163. The next prime is 6431630364209. The reversal of 6431630364192 is 2914630361346.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 237289713 + ... + 237316815.

It is an arithmetic number, because the mean of its divisors is an integer number (66617295360).

Almost surely, 2^{6431630364192} is an apocalyptic number.

6431630364192 is a gapful number since it is divisible by the number (62) 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 6431630364192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9592890531840).

6431630364192 is an abundant number, since it is smaller than the sum of its proper divisors (12754150699488).

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

6431630364192 is a wasteful number, since it uses less digits than its factorization.

6431630364192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27828 (or 27809 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 48.

The spelling of 6431630364192 in words is "six trillion, four hundred thirty-one billion, six hundred thirty million, three hundred sixty-four thousand, one hundred ninety-two".