677419680 has 192 divisors, whose sum is σ = 2505081600. Its totient is φ = 150626304.

The previous prime is 677419661. The next prime is 677419693. The reversal of 677419680 is 86914776.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121596 + ... + 127044.

It is an arithmetic number, because the mean of its divisors is an integer number (13047300).

Almost surely, 2^677419680 is an apocalyptic number.

677419680 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 677419680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252540800).

677419680 is an abundant number, since it is smaller than the sum of its proper divisors (1827661920).

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

677419680 is a wasteful number, since it uses less digits than its factorization.

677419680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5511 (or 5503 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 677419680 is about 26027.2872193781. The cubic root of 677419680 is about 878.2522473705.

It can be divided in two parts, 67741 and 9680, that added together give a triangular number (77421 = T₃₉₃).

The spelling of 677419680 in words is "six hundred seventy-seven million, four hundred nineteen thousand, six hundred eighty".