677760749505 has 96 divisors (see below), whose sum is σ = 1424405299200. Its totient is φ = 291214901376.

The previous prime is 677760749489. The next prime is 677760749521. The reversal of 677760749505 is 505947067776.

677760749505 is a `hidden beast` number, since 6 + 77 + 76 + 0 + 7 + 495 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (677760749489) and next prime (677760749521).

It is not a de Polignac number, because 677760749505 - 2⁴ = 677760749489 is a prime.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 314256 + ... + 1205934.

It is an arithmetic number, because the mean of its divisors is an integer number (14837555200).

Almost surely, 2^677760749505 is an apocalyptic number.

It is an amenable number.

677760749505 is an abundant number, since it is smaller than the sum of its proper divisors (746644549695).

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

677760749505 is a wasteful number, since it uses less digits than its factorization.

677760749505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891843 (or 891840 counting only the distinct ones).

The product of its (nonzero) digits is 77792400, while the sum is 63.

The spelling of 677760749505 in words is "six hundred seventy-seven billion, seven hundred sixty million, seven hundred forty-nine thousand, five hundred five".