7861918680 has 576 divisors, whose sum is σ = 33496519680. Its totient is φ = 1579737600.

The previous prime is 7861918661. The next prime is 7861918697. The reversal of 7861918680 is 868191687.

7861918680 is a `hidden beast` number, since 7 + 8 + 619 + 18 + 6 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6014587 + ... + 6015893.

It is an arithmetic number, because the mean of its divisors is an integer number (58153680).

Almost surely, 2^7861918680 is an apocalyptic number.

7861918680 is a gapful number since it is divisible by the number (70) 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 7861918680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16748259840).

7861918680 is an abundant number, since it is smaller than the sum of its proper divisors (25634601000).

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

7861918680 is a wasteful number, since it uses less digits than its factorization.

7861918680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The square root of 7861918680 is about 88667.4612245101. The cubic root of 7861918680 is about 1988.4263781614.

The spelling of 7861918680 in words is "seven billion, eight hundred sixty-one million, nine hundred eighteen thousand, six hundred eighty".