632960761466880 has 6240 divisors, whose sum is σ = 3070043300862720. Its totient is φ = 122091869306880.

The previous prime is 632960761466861. The next prime is 632960761466903. The reversal of 632960761466880 is 88664167069236.

632960761466880 is a `hidden beast` number, since 6 + 3 + 2 + 9 + 607 + 6 + 1 + 4 + 6 + 6 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×632960761466880² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 632960761466799 and 632960761466808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 8670695362524 + ... + 8670695362596.

It is an arithmetic number, because the mean of its divisors is an integer number (491994118728).

Almost surely, 2^{632960761466880} is an apocalyptic number.

632960761466880 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 632960761466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535021650431360).

632960761466880 is an abundant number, since it is smaller than the sum of its proper divisors (2437082539395840).

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

632960761466880 is an frugal number, since it uses more digits than its factorization.

632960761466880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 632960761466880 in words is "six hundred thirty-two trillion, nine hundred sixty billion, seven hundred sixty-one million, four hundred sixty-six thousand, eight hundred eighty".