676266516853200 has 2160 divisors, whose sum is σ = 3073503569610240. Its totient is φ = 140728858583040.

The previous prime is 676266516853153. The next prime is 676266516853261. The reversal of 676266516853200 is 2358615662676.

676266516853200 is a `hidden beast` number, since 6 + 7 + 6 + 2 + 6 + 6 + 516 + 85 + 32 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 6528688609 + ... + 6528792191.

It is an arithmetic number, because the mean of its divisors is an integer number (1422918319264).

Almost surely, 2^{676266516853200} is an apocalyptic number.

676266516853200 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 676266516853200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536751784805120).

676266516853200 is an abundant number, since it is smaller than the sum of its proper divisors (2397237052757040).

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

676266516853200 is a wasteful number, since it uses less digits than its factorization.

676266516853200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103723 (or 103686 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 676266516853200 in words is "six hundred seventy-six trillion, two hundred sixty-six billion, five hundred sixteen million, eight hundred fifty-three thousand, two hundred".