632491130880 has 1680 divisors, whose sum is σ = 2784922378560. Its totient is φ = 134536495104.

The previous prime is 632491130879. The next prime is 632491130899. The reversal of 632491130880 is 88031194236.

632491130880 is a `hidden beast` number, since 6 + 324 + 9 + 11 + 308 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×632491130880² (a number of 24 digits) contains 22 as substring.

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 111 ways as a sum of consecutive naturals, for example, 7106641876 + ... + 7106641964.

It is an arithmetic number, because the mean of its divisors is an integer number (1657691892).

Almost surely, 2^632491130880 is an apocalyptic number.

632491130880 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 632491130880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392461189280).

632491130880 is an abundant number, since it is smaller than the sum of its proper divisors (2152431247680).

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

632491130880 is an frugal number, since it uses more digits than its factorization.

632491130880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 632491130880 in words is "six hundred thirty-two billion, four hundred ninety-one million, one hundred thirty thousand, eight hundred eighty".