7672691460 has 144 divisors (see below), whose sum is σ = 25022088000. Its totient is φ = 1751581440.

The previous prime is 7672691449. The next prime is 7672691503. The reversal of 7672691460 is 641962767.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4406190 + ... + 4407930.

It is an arithmetic number, because the mean of its divisors is an integer number (173764500).

Almost surely, 2^7672691460 is an apocalyptic number.

7672691460 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 7672691460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12511044000).

7672691460 is an abundant number, since it is smaller than the sum of its proper divisors (17349396540).

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

7672691460 is a wasteful number, since it uses less digits than its factorization.

7672691460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3266 (or 3257 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 7672691460 is about 87593.9008150682. The cubic root of 7672691460 is about 1972.3436132783.

The spelling of 7672691460 in words is "seven billion, six hundred seventy-two million, six hundred ninety-one thousand, four hundred sixty".