63996945315840 has 672 divisors, whose sum is σ = 230812365747600. Its totient is φ = 17022497587200.

The previous prime is 63996945315827. The next prime is 63996945315883. The reversal of 63996945315840 is 4851354969936.

63996945315840 is a `hidden beast` number, since 6 + 3 + 9 + 9 + 6 + 9 + 4 + 5 + 31 + 584 + 0 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2993438271 + ... + 2993459649.

Almost surely, 2^{63996945315840} is an apocalyptic number.

63996945315840 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 63996945315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115406182873800).

63996945315840 is an abundant number, since it is smaller than the sum of its proper divisors (166815420431760).

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

63996945315840 is an equidigital number, since it uses as much as digits as its factorization.

63996945315840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21825 (or 21790 counting only the distinct ones).

The product of its (nonzero) digits is 755827200, while the sum is 72.

The spelling of 63996945315840 in words is "sixty-three trillion, nine hundred ninety-six billion, nine hundred forty-five million, three hundred fifteen thousand, eight hundred forty".