677723642814240 has 432 divisors, whose sum is σ = 2545168190632704. Its totient is φ = 164097939962880.

The previous prime is 677723642814221. The next prime is 677723642814247. The reversal of 677723642814240 is 42418246327776.

677723642814240 is a `hidden beast` number, since 6 + 7 + 7 + 7 + 2 + 364 + 28 + 1 + 4 + 240 = 666.

It is a super-2 number, since 2×677723642814240² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (677723642814247) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 141744849 + ... + 146448111.

It is an arithmetic number, because the mean of its divisors is an integer number (5891593033872).

Almost surely, 2^{677723642814240} is an apocalyptic number.

677723642814240 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 677723642814240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272584095316352).

677723642814240 is an abundant number, since it is smaller than the sum of its proper divisors (1867444547818464).

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

677723642814240 is a wasteful number, since it uses less digits than its factorization.

677723642814240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4704133 (or 4704111 counting only the distinct ones).

The product of its (nonzero) digits is 151732224, while the sum is 63.

The spelling of 677723642814240 in words is "six hundred seventy-seven trillion, seven hundred twenty-three billion, six hundred forty-two million, eight hundred fourteen thousand, two hundred forty".