678616010956224 has 560 divisors, whose sum is σ = 2266337740778496. Its totient is φ = 198916151500800.

The previous prime is 678616010956223. The next prime is 678616010956241. The reversal of 678616010956224 is 422659010616876.

678616010956224 is a `hidden beast` number, since 6 + 7 + 8 + 6 + 1 + 60 + 1 + 0 + 9 + 562 + 2 + 4 = 666.

It is a super-2 number, since 2×678616010956224² (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678616010956223) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3894252904 + ... + 3894427160.

Almost surely, 2^{678616010956224} is an apocalyptic number.

678616010956224 is a gapful number since it is divisible by the number (64) 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 678616010956224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133168870389248).

678616010956224 is an abundant number, since it is smaller than the sum of its proper divisors (1587721729822272).

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

678616010956224 is a wasteful number, since it uses less digits than its factorization.

678616010956224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176526 (or 176507 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 678616010956224 in words is "six hundred seventy-eight trillion, six hundred sixteen billion, ten million, nine hundred fifty-six thousand, two hundred twenty-four".