678874456260 has 2304 divisors, whose sum is σ = 3096963072000. Its totient is φ = 121622860800.

The previous prime is 678874456237. The next prime is 678874456321. The reversal of 678874456260 is 62654478876.

678874456260 is a `hidden beast` number, since 6 + 7 + 8 + 8 + 7 + 4 + 4 + 562 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 9561612025 + ... + 9561612095.

It is an arithmetic number, because the mean of its divisors is an integer number (1344168000).

Almost surely, 2^678874456260 is an apocalyptic number.

678874456260 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 678874456260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548481536000).

678874456260 is an abundant number, since it is smaller than the sum of its proper divisors (2418088615740).

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

678874456260 is a wasteful number, since it uses less digits than its factorization.

678874456260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 678874456260 in words is "six hundred seventy-eight billion, eight hundred seventy-four million, four hundred fifty-six thousand, two hundred sixty".