677171390400 has 1512 divisors, whose sum is σ = 2745299706240. Its totient is φ = 157925376000.

The previous prime is 677171390377. The next prime is 677171390449. The reversal of 677171390400 is 4093171776.

It is a happy number.

677171390400 is a `hidden beast` number, since 6 + 77 + 171 + 3 + 9 + 0 + 400 = 666.

It is a super-2 number, since 2×677171390400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3741278310 + ... + 3741278490.

Almost surely, 2^677171390400 is an apocalyptic number.

677171390400 is a gapful number since it is divisible by the number (60) 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 677171390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372649853120).

677171390400 is an abundant number, since it is smaller than the sum of its proper divisors (2068128315840).

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

677171390400 is a wasteful number, since it uses less digits than its factorization.

677171390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 677171390400 in words is "six hundred seventy-seven billion, one hundred seventy-one million, three hundred ninety thousand, four hundred".