7647263460 has 216 divisors, whose sum is σ = 24927267456. Its totient is φ = 1967898240.

The previous prime is 7647263441. The next prime is 7647263497. The reversal of 7647263460 is 643627467.

7647263460 is a `hidden beast` number, since 7 + 6 + 4 + 7 + 2 + 634 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4086325 + ... + 4088195.

It is an arithmetic number, because the mean of its divisors is an integer number (115404016).

Almost surely, 2^7647263460 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 7647263460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12463633728).

7647263460 is an abundant number, since it is smaller than the sum of its proper divisors (17280003996).

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

7647263460 is a wasteful number, since it uses less digits than its factorization.

7647263460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The square root of 7647263460 is about 87448.6332654776. The cubic root of 7647263460 is about 1970.1623596077.

The spelling of 7647263460 in words is "seven billion, six hundred forty-seven million, two hundred sixty-three thousand, four hundred sixty".