676945748699136 has 1728 divisors, whose sum is σ = 2491154819112960. Its totient is φ = 173183011061760.

The previous prime is 676945748699071. The next prime is 676945748699173. The reversal of 676945748699136 is 631996847549676.

676945748699136 is a `hidden beast` number, since 6 + 7 + 6 + 9 + 4 + 5 + 7 + 486 + 9 + 91 + 36 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62088020661 + ... + 62088031563.

It is an arithmetic number, because the mean of its divisors is an integer number (1441640520320).

Almost surely, 2^{676945748699136} 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 676945748699136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245577409556480).

676945748699136 is an abundant number, since it is smaller than the sum of its proper divisors (1814209070413824).

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

676945748699136 is a wasteful number, since it uses less digits than its factorization.

676945748699136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11050 (or 11008 counting only the distinct ones).

The product of its digits is 88885278720, while the sum is 90.

The spelling of 676945748699136 in words is "six hundred seventy-six trillion, nine hundred forty-five billion, seven hundred forty-eight million, six hundred ninety-nine thousand, one hundred thirty-six".