676157884416 has 384 divisors, whose sum is σ = 2296800979200. Its totient is φ = 192536248320.

The previous prime is 676157884411. The next prime is 676157884427. The reversal of 676157884416 is 614488751676.

676157884416 is a `hidden beast` number, since 6 + 7 + 6 + 1 + 578 + 8 + 44 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×676157884416² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (676157884411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121150746 + ... + 121156326.

It is an arithmetic number, because the mean of its divisors is an integer number (5981252550).

Almost surely, 2^676157884416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 676157884416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148400489600).

676157884416 is an abundant number, since it is smaller than the sum of its proper divisors (1620643094784).

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

676157884416 is a wasteful number, since it uses less digits than its factorization.

676157884416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5932 (or 5906 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 63.

The spelling of 676157884416 in words is "six hundred seventy-six billion, one hundred fifty-seven million, eight hundred eighty-four thousand, four hundred sixteen".