63682893120 has 672 divisors, whose sum is σ = 267792500736. Its totient is φ = 12655104000.

The previous prime is 63682893107. The next prime is 63682893121. The reversal of 63682893120 is 2139828636.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×63682893120² (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 63682893120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63682893121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11898445 + ... + 11903795.

Almost surely, 2^63682893120 is an apocalyptic number.

63682893120 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 63682893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133896250368).

63682893120 is an abundant number, since it is smaller than the sum of its proper divisors (204109607616).

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

63682893120 is a wasteful number, since it uses less digits than its factorization.

63682893120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5419 (or 5402 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 63682893120 in words is "sixty-three billion, six hundred eighty-two million, eight hundred ninety-three thousand, one hundred twenty".