9991294704 has 320 divisors, whose sum is σ = 31347993600. Its totient is φ = 3035999232.

The previous prime is 9991294693. The next prime is 9991294711. The reversal of 9991294704 is 4074921999.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 50717134 + ... + 50717330.

It is an arithmetic number, because the mean of its divisors is an integer number (97962480).

Almost surely, 2^9991294704 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 9991294704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15673996800).

9991294704 is an abundant number, since it is smaller than the sum of its proper divisors (21356698896).

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

9991294704 is a wasteful number, since it uses less digits than its factorization.

9991294704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 9991294704 is about 99956.4640431023. The cubic root of 9991294704 is about 2153.8093421458.

It can be divided in two parts, 999 and 1294704, that multiplied together give a square (1293409296 = 35964²).

The spelling of 9991294704 in words is "nine billion, nine hundred ninety-one million, two hundred ninety-four thousand, seven hundred four".