633005378880 has 672 divisors, whose sum is σ = 2381325687936. Its totient is φ = 142021361664.

The previous prime is 633005378869. The next prime is 633005378933. The reversal of 633005378880 is 88873500336.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1157230767 + ... + 1157231313.

Almost surely, 2^633005378880 is an apocalyptic number.

633005378880 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 633005378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190662843968).

633005378880 is an abundant number, since it is smaller than the sum of its proper divisors (1748320309056).

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

633005378880 is a wasteful number, since it uses less digits than its factorization.

633005378880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 633005378880 in words is "six hundred thirty-three billion, five million, three hundred seventy-eight thousand, eight hundred eighty".