677053671840 has 768 divisors, whose sum is σ = 2939026083840. Its totient is φ = 141749637120.

The previous prime is 677053671829. The next prime is 677053671859. The reversal of 677053671840 is 48176350776.

677053671840 is a `hidden beast` number, since 67 + 7 + 0 + 536 + 7 + 1 + 8 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51492147 + ... + 51505293.

It is an arithmetic number, because the mean of its divisors is an integer number (3826856880).

Almost surely, 2^677053671840 is an apocalyptic number.

677053671840 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 677053671840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469513041920).

677053671840 is an abundant number, since it is smaller than the sum of its proper divisors (2261972412000).

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

677053671840 is a wasteful number, since it uses less digits than its factorization.

677053671840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13322 (or 13308 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 677053671840 in words is "six hundred seventy-seven billion, fifty-three million, six hundred seventy-one thousand, eight hundred forty".