671905382400 has 1152 divisors, whose sum is σ = 2819384904960. Its totient is φ = 149768110080.

The previous prime is 671905382387. The next prime is 671905382411. The reversal of 671905382400 is 4283509176.

671905382400 is a `hidden beast` number, since 6 + 7 + 1 + 90 + 538 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2425651062 + ... + 2425651338.

It is an arithmetic number, because the mean of its divisors is an integer number (2447382730).

It is a 1-persistent number, because it is pandigital, but 2⋅671905382400 = 1343810764800 is not.

Almost surely, 2^671905382400 is an apocalyptic number.

671905382400 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 671905382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409692452480).

671905382400 is an abundant number, since it is smaller than the sum of its proper divisors (2147479522560).

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

671905382400 is a wasteful number, since it uses less digits than its factorization.

671905382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 671905382400 in words is "six hundred seventy-one billion, nine hundred five million, three hundred eighty-two thousand, four hundred".