7641707470848 has 896 divisors, whose sum is σ = 25872914350080. Its totient is φ = 2207858688000.

The previous prime is 7641707470807. The next prime is 7641707470867. The reversal of 7641707470848 is 8480747071467.

It is a happy number.

7641707470848 is a `hidden beast` number, since 7 + 6 + 417 + 0 + 74 + 70 + 84 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5355085111 + ... + 5355086537.

It is an arithmetic number, because the mean of its divisors is an integer number (28876020480).

Almost surely, 2^{7641707470848} 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 7641707470848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12936457175040).

7641707470848 is an abundant number, since it is smaller than the sum of its proper divisors (18231206879232).

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

7641707470848 is a wasteful number, since it uses less digits than its factorization.

7641707470848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 59006976, while the sum is 63.

The spelling of 7641707470848 in words is "seven trillion, six hundred forty-one billion, seven hundred seven million, four hundred seventy thousand, eight hundred forty-eight".