63884397358080 has 1056 divisors, whose sum is σ = 250700778252288. Its totient is φ = 15503627059200.

The previous prime is 63884397358049. The next prime is 63884397358087. The reversal of 63884397358080 is 8085379348836.

It is a happy number.

63884397358080 is a `hidden beast` number, since 6 + 3 + 8 + 8 + 4 + 39 + 7 + 3 + 580 + 8 + 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 not an unprimeable number, because it can be changed into a prime (63884397358087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1148331865 + ... + 1148387495.

Almost surely, 2^{63884397358080} is an apocalyptic number.

63884397358080 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 63884397358080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125350389126144).

63884397358080 is an abundant number, since it is smaller than the sum of its proper divisors (186816380894208).

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

63884397358080 is a wasteful number, since it uses less digits than its factorization.

63884397358080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55755 (or 55725 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 63884397358080 in words is "sixty-three trillion, eight hundred eighty-four billion, three hundred ninety-seven million, three hundred fifty-eight thousand, eighty".