677152251776 has 128 divisors (see below), whose sum is σ = 1811264232960. Its totient is φ = 243531233280.

The previous prime is 677152251757. The next prime is 677152251779.

677152251776 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677152251779) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2514356 + ... + 2770611.

It is an arithmetic number, because the mean of its divisors is an integer number (14150501820).

Almost surely, 2^677152251776 is an apocalyptic number.

It is an amenable number.

677152251776 is an abundant number, since it is smaller than the sum of its proper divisors (1134111981184).

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

677152251776 is a wasteful number, since it uses less digits than its factorization.

677152251776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5285012 (or 5285000 counting only the distinct ones).

The product of its digits is 8643600, while the sum is 56.

The spelling of 677152251776 in words is "six hundred seventy-seven billion, one hundred fifty-two million, two hundred fifty-one thousand, seven hundred seventy-six".