676292198400 has 1800 divisors, whose sum is σ = 3138697450350. Its totient is φ = 142690222080.

The previous prime is 676292198399. The next prime is 676292198447. The reversal of 676292198400 is 4891292676.

676292198400 is a `hidden beast` number, since 6 + 7 + 62 + 92 + 1 + 98 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 375602282496 + 300689915904 = 612864^2 + 548352^2 .

It is a tau number, because it is divible by the number of its divisors (1800).

It is a super-2 number, since 2×676292198400² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 52022476794 + ... + 52022476806.

Almost surely, 2^676292198400 is an apocalyptic number.

676292198400 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 676292198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569348725175).

676292198400 is an abundant number, since it is smaller than the sum of its proper divisors (2462405251950).

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

676292198400 is an frugal number, since it uses more digits than its factorization.

676292198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 676292198400 in words is "six hundred seventy-six billion, two hundred ninety-two million, one hundred ninety-eight thousand, four hundred".