677968640 has 144 divisors (see below), whose sum is σ = 1741242720. Its totient is φ = 252149760.

The previous prime is 677968637. The next prime is 677968657. The reversal of 677968640 is 46869776.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1483292 + ... + 1483748.

Almost surely, 2^677968640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 677968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870621360).

677968640 is an abundant number, since it is smaller than the sum of its proper divisors (1063274080).

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

677968640 is a wasteful number, since it uses less digits than its factorization.

677968640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 53.

The square root of 677968640 is about 26037.8309388474. The cubic root of 677968640 is about 878.4894194877.

The spelling of 677968640 in words is "six hundred seventy-seven million, nine hundred sixty-eight thousand, six hundred forty".