671940878400 has 1701 divisors, whose sum is σ = 2849583706333. Its totient is φ = 155812377600.

The previous prime is 671940878383. The next prime is 671940878407. The reversal of 671940878400 is 4878049176.

It is a happy number.

The square root of 671940878400 is 819720.

It is a perfect power (a square), and thus also a powerful number.

671940878400 is a `hidden beast` number, since 6 + 71 + 94 + 0 + 87 + 8 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 241898716224 + 430042162176 = 491832^2 + 655776^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (671940878407) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 29214820789 + ... + 29214820811.

Almost surely, 2^671940878400 is an apocalyptic number.

671940878400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

671940878400 is the 819720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 671940878400

671940878400 is an abundant number, since it is smaller than the sum of its proper divisors (2177642827933).

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

671940878400 is an equidigital number, since it uses as much as digits as its factorization.

671940878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 671940878400 in words is "six hundred seventy-one billion, nine hundred forty million, eight hundred seventy-eight thousand, four hundred".