677380145400 has 432 divisors, whose sum is σ = 2785559938200. Its totient is φ = 146680450560.

The previous prime is 677380145399. The next prime is 677380145411. The reversal of 677380145400 is 4541083776.

677380145400 is a `hidden beast` number, since 6 + 77 + 38 + 0 + 1 + 4 + 540 + 0 = 666.

It is a super-2 number, since 2×677380145400² (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 107 ways as a sum of consecutive naturals, for example, 1473694 + ... + 1877906.

Almost surely, 2^677380145400 is an apocalyptic number.

677380145400 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 677380145400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392779969100).

677380145400 is an abundant number, since it is smaller than the sum of its proper divisors (2108179792800).

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

677380145400 is a wasteful number, since it uses less digits than its factorization.

677380145400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404268 (or 404249 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 677380145400 in words is "six hundred seventy-seven billion, three hundred eighty million, one hundred forty-five thousand, four hundred".