671719630982400 has 6480 divisors, whose sum is σ = 3412690467455808. Its totient is φ = 128672022528000.

The previous prime is 671719630982399. The next prime is 671719630982467. The reversal of 671719630982400 is 4289036917176.

671719630982400 is a `hidden beast` number, since 6 + 7 + 1 + 7 + 196 + 30 + 9 + 8 + 2 + 400 = 666.

671719630982400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (6480).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 882680198020 + ... + 882680198780.

Almost surely, 2^{671719630982400} is an apocalyptic number.

671719630982400 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 671719630982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706345233727904).

671719630982400 is an abundant number, since it is smaller than the sum of its proper divisors (2740970836473408).

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

671719630982400 is an equidigital number, since it uses as much as digits as its factorization.

671719630982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 671719630982400 in words is "six hundred seventy-one trillion, seven hundred nineteen billion, six hundred thirty million, nine hundred eighty-two thousand, four hundred".