63776401920 has 1280 divisors, whose sum is σ = 295283957760. Its totient is φ = 12651724800.

The previous prime is 63776401849. The next prime is 63776401921. The reversal of 63776401920 is 2910467736.

63776401920 is a `hidden beast` number, since 637 + 7 + 6 + 4 + 0 + 1 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×63776401920² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (63776401921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 122411260 + ... + 122411780.

It is an arithmetic number, because the mean of its divisors is an integer number (230690592).

Almost surely, 2^63776401920 is an apocalyptic number.

63776401920 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 63776401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147641978880).

63776401920 is an abundant number, since it is smaller than the sum of its proper divisors (231507555840).

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

63776401920 is a wasteful number, since it uses less digits than its factorization.

63776401920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 63776401920 in words is "sixty-three billion, seven hundred seventy-six million, four hundred one thousand, nine hundred twenty".