675877898304 has 756 divisors, whose sum is σ = 2369694062736. Its totient is φ = 190680086016.

The previous prime is 675877898303. The next prime is 675877898309. The reversal of 675877898304 is 403898778576.

675877898304 is a `hidden beast` number, since 6 + 7 + 587 + 7 + 8 + 9 + 8 + 30 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

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

It is not an unprimeable number, because it can be changed into a prime (675877898303) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2201556519 + ... + 2201556825.

It is an arithmetic number, because the mean of its divisors is an integer number (3134515956).

Almost surely, 2^675877898304 is an apocalyptic number.

675877898304 is a gapful number since it is divisible by the number (64) 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 675877898304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184847031368).

675877898304 is an abundant number, since it is smaller than the sum of its proper divisors (1693816164432).

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

675877898304 is an equidigital number, since it uses as much as digits as its factorization.

675877898304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 675877898304 in words is "six hundred seventy-five billion, eight hundred seventy-seven million, eight hundred ninety-eight thousand, three hundred four".