677345954400 has 576 divisors, whose sum is σ = 2474279136000. Its totient is φ = 178827264000.

The previous prime is 677345954357. The next prime is 677345954401. The reversal of 677345954400 is 4459543776.

677345954400 is a `hidden beast` number, since 6 + 7 + 7 + 3 + 4 + 595 + 4 + 40 + 0 = 666.

677345954400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (677345954401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1508565376 + ... + 1508565824.

It is an arithmetic number, because the mean of its divisors is an integer number (4295623500).

Almost surely, 2^677345954400 is an apocalyptic number.

677345954400 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 677345954400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1237139568000).

677345954400 is an abundant number, since it is smaller than the sum of its proper divisors (1796933181600).

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

677345954400 is a wasteful number, since it uses less digits than its factorization.

677345954400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 677345954400 in words is "six hundred seventy-seven billion, three hundred forty-five million, nine hundred fifty-four thousand, four hundred".