676145362464 has 768 divisors, whose sum is σ = 2394334494720. Its totient is φ = 182891520000.

The previous prime is 676145362391. The next prime is 676145362469. The reversal of 676145362464 is 464263541676.

It is a happy number.

676145362464 is a `hidden beast` number, since 6 + 7 + 6 + 1 + 4 + 5 + 3 + 624 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 676145362464.

It is not an unprimeable number, because it can be changed into a prime (676145362469) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 643334739 + ... + 643335789.

It is an arithmetic number, because the mean of its divisors is an integer number (3117623040).

Almost surely, 2^676145362464 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 676145362464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197167247360).

676145362464 is an abundant number, since it is smaller than the sum of its proper divisors (1718189132256).

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

676145362464 is a wasteful number, since it uses less digits than its factorization.

676145362464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1248 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 676145362464 in words is "six hundred seventy-six billion, one hundred forty-five million, three hundred sixty-two thousand, four hundred sixty-four".