671858906400 has 1440 divisors, whose sum is σ = 2822507347968. Its totient is φ = 153934387200.

The previous prime is 671858906393. The next prime is 671858906417. The reversal of 671858906400 is 4609858176.

671858906400 is a `hidden beast` number, since 6 + 7 + 18 + 589 + 0 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

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 239 ways as a sum of consecutive naturals, for example, 1754200609 + ... + 1754200991.

Almost surely, 2^671858906400 is an apocalyptic number.

671858906400 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 671858906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411253673984).

671858906400 is an abundant number, since it is smaller than the sum of its proper divisors (2150648441568).

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

671858906400 is a wasteful number, since it uses less digits than its factorization.

671858906400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 671858906400 in words is "six hundred seventy-one billion, eight hundred fifty-eight million, nine hundred six thousand, four hundred".