632147798880 has 1728 divisors, whose sum is σ = 2670658724160. Its totient is φ = 139053957120.

The previous prime is 632147798851. The next prime is 632147798921. The reversal of 632147798880 is 88897741236.

632147798880 is a `hidden beast` number, since 6 + 3 + 2 + 1 + 477 + 9 + 88 + 80 = 666.

It is a super-2 number, since 2×632147798880² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11927316934 + ... + 11927316986.

It is an arithmetic number, because the mean of its divisors is an integer number (1545520095).

Almost surely, 2^632147798880 is an apocalyptic number.

632147798880 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 632147798880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335329362080).

632147798880 is an abundant number, since it is smaller than the sum of its proper divisors (2038510925280).

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

632147798880 is a wasteful number, since it uses less digits than its factorization.

632147798880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 632147798880 in words is "six hundred thirty-two billion, one hundred forty-seven million, seven hundred ninety-eight thousand, eight hundred eighty".