677157376896 has 1728 divisors, whose sum is σ = 2788431609600. Its totient is φ = 161676103680.

The previous prime is 677157376871. The next prime is 677157376997. The reversal of 677157376896 is 698673751776.

677157376896 is a `hidden beast` number, since 67 + 71 + 57 + 376 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×677157376896² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2833294345 + ... + 2833294583.

It is an arithmetic number, because the mean of its divisors is an integer number (1613675700).

Almost surely, 2^677157376896 is an apocalyptic number.

677157376896 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677157376896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394215804800).

677157376896 is an abundant number, since it is smaller than the sum of its proper divisors (2111274232704).

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

677157376896 is a wasteful number, since it uses less digits than its factorization.

677157376896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 275 counting only the distinct ones).

The product of its digits is 560105280, while the sum is 72.

The spelling of 677157376896 in words is "six hundred seventy-seven billion, one hundred fifty-seven million, three hundred seventy-six thousand, eight hundred ninety-six".