7861668480 has 192 divisors, whose sum is σ = 27228614400. Its totient is φ = 2090170368.

The previous prime is 7861668421. The next prime is 7861668509. The reversal of 7861668480 is 848661687.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2112061 + ... + 2115779.

It is an arithmetic number, because the mean of its divisors is an integer number (141815700).

Almost surely, 2^7861668480 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 7861668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13614307200).

7861668480 is an abundant number, since it is smaller than the sum of its proper divisors (19366945920).

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

7861668480 is a wasteful number, since it uses less digits than its factorization.

7861668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4111 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 7861668480 is about 88666.0503236724. The cubic root of 7861668480 is about 1988.4052845167.

The spelling of 7861668480 in words is "seven billion, eight hundred sixty-one million, six hundred sixty-eight thousand, four hundred eighty".