677766947274144 has 1920 divisors, whose sum is σ = 2675673878169600. Its totient is φ = 163246044487680.

The previous prime is 677766947274113. The next prime is 677766947274181. The reversal of 677766947274144 is 441472749667776.

677766947274144 is a `hidden beast` number, since 6 + 7 + 7 + 7 + 6 + 69 + 472 + 7 + 41 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 89806137379 + ... + 89806144925.

It is an arithmetic number, because the mean of its divisors is an integer number (1393580144880).

Almost surely, 2^{677766947274144} 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 677766947274144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337836939084800).

677766947274144 is an abundant number, since it is smaller than the sum of its proper divisors (1997906930895456).

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

677766947274144 is a wasteful number, since it uses less digits than its factorization.

677766947274144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8328 (or 8311 counting only the distinct ones).

The product of its digits is 16728477696, while the sum is 81.

The spelling of 677766947274144 in words is "six hundred seventy-seven trillion, seven hundred sixty-six billion, nine hundred forty-seven million, two hundred seventy-four thousand, one hundred forty-four".