7681474560 has 144 divisors (see below), whose sum is σ = 24586916256. Its totient is φ = 2047868928.

The previous prime is 7681474543. The next prime is 7681474571. The reversal of 7681474560 is 654741867.

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 7 ways as a sum of consecutive naturals, for example, 1964127 + ... + 1968033.

It is an arithmetic number, because the mean of its divisors is an integer number (170742474).

Almost surely, 2^7681474560 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 7681474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12293458128).

7681474560 is an abundant number, since it is smaller than the sum of its proper divisors (16905441696).

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

7681474560 is an frugal number, since it uses more digits than its factorization.

7681474560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3949 (or 3917 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The square root of 7681474560 is about 87644.0218155237. The cubic root of 7681474560 is about 1973.0959214422.

The spelling of 7681474560 in words is "seven billion, six hundred eighty-one million, four hundred seventy-four thousand, five hundred sixty".