63577403904 has 160 divisors (see below), whose sum is σ = 193760455680. Its totient is φ = 18147151872.

The previous prime is 63577403849. The next prime is 63577403921. The reversal of 63577403904 is 40930477536.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14179647 + ... + 14184129.

It is an arithmetic number, because the mean of its divisors is an integer number (1211002848).

Almost surely, 2^63577403904 is an apocalyptic number.

63577403904 is a gapful number since it is divisible by the number (64) 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 63577403904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96880227840).

63577403904 is an abundant number, since it is smaller than the sum of its proper divisors (130183051776).

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

63577403904 is a wasteful number, since it uses less digits than its factorization.

63577403904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5830 (or 5814 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 48.

The spelling of 63577403904 in words is "sixty-three billion, five hundred seventy-seven million, four hundred three thousand, nine hundred four".