633484758480 has 160 divisors (see below), whose sum is σ = 2244617478144. Its totient is φ = 144779002368.

The previous prime is 633484758461. The next prime is 633484758509. The reversal of 633484758480 is 84857484336.

It is a happy number.

633484758480 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18205579 + ... + 18240341.

Almost surely, 2^633484758480 is an apocalyptic number.

633484758480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

633484758480 is an abundant number, since it is smaller than the sum of its proper divisors (1611132719664).

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

633484758480 is a wasteful number, since it uses less digits than its factorization.

633484758480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45633 (or 45627 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 60.

The spelling of 633484758480 in words is "six hundred thirty-three billion, four hundred eighty-four million, seven hundred fifty-eight thousand, four hundred eighty".