663158870400 has 768 divisors, whose sum is σ = 2420305090560. Its totient is φ = 158574673920.

The previous prime is 663158870383. The next prime is 663158870467. The reversal of 663158870400 is 4078851366.

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 663158870400.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 979554862 + ... + 979555538.

It is an arithmetic number, because the mean of its divisors is an integer number (3151438920).

Almost surely, 2^663158870400 is an apocalyptic number.

663158870400 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 663158870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210152545280).

663158870400 is an abundant number, since it is smaller than the sum of its proper divisors (1757146220160).

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

663158870400 is a wasteful number, since it uses less digits than its factorization.

663158870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 663158870400 in words is "six hundred sixty-three billion, one hundred fifty-eight million, eight hundred seventy thousand, four hundred".