677557360704000 has 640 divisors, whose sum is σ = 2574763642294272. Its totient is φ = 154855861862400.

The previous prime is 677557360703981. The next prime is 677557360704089. The reversal of 677557360704000 is 407063755776.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22507952949 + ... + 22507983051.

Almost surely, 2^{677557360704000} is an apocalyptic number.

677557360704000 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 677557360704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287381821147136).

677557360704000 is an abundant number, since it is smaller than the sum of its proper divisors (1897206281590272).

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

677557360704000 is a wasteful number, since it uses less digits than its factorization.

677557360704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46893 (or 46867 counting only the distinct ones).

The product of its (nonzero) digits is 25930800, while the sum is 57.

The spelling of 677557360704000 in words is "six hundred seventy-seven trillion, five hundred fifty-seven billion, three hundred sixty million, seven hundred four thousand".