6630573632400 has 1920 divisors, whose sum is σ = 26308360601600. Its totient is φ = 1580182732800.

The previous prime is 6630573632393. The next prime is 6630573632447. The reversal of 6630573632400 is 42363750366.

6630573632400 is a `hidden beast` number, since 6 + 6 + 3 + 0 + 5 + 7 + 3 + 632 + 4 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 52209241137 + ... + 52209241263.

Almost surely, 2^{6630573632400} is an apocalyptic number.

6630573632400 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 6630573632400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13154180300800).

6630573632400 is an abundant number, since it is smaller than the sum of its proper divisors (19677786969200).

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

6630573632400 is a wasteful number, since it uses less digits than its factorization.

6630573632400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 45.

The spelling of 6630573632400 in words is "six trillion, six hundred thirty billion, five hundred seventy-three million, six hundred thirty-two thousand, four hundred".