7716631104 has 448 divisors, whose sum is σ = 28839444480. Its totient is φ = 1968261120.

The previous prime is 7716631099. The next prime is 7716631151. The reversal of 7716631104 is 4011366177.

7716631104 is a `hidden beast` number, since 7 + 7 + 1 + 6 + 631 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 4873897 + ... + 4875479.

It is an arithmetic number, because the mean of its divisors is an integer number (64373760).

Almost surely, 2^7716631104 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 7716631104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14419722240).

7716631104 is an abundant number, since it is smaller than the sum of its proper divisors (21122813376).

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

7716631104 is a wasteful number, since it uses less digits than its factorization.

7716631104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1655 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 7716631104 is about 87844.3572689789. The cubic root of 7716631104 is about 1976.1014934729.

The spelling of 7716631104 in words is "seven billion, seven hundred sixteen million, six hundred thirty-one thousand, one hundred four".