10772296704 has 704 divisors, whose sum is σ = 38131188480. Its totient is φ = 2972712960.

The previous prime is 10772296699. The next prime is 10772296709. The reversal of 10772296704 is 40769227701.

It is an interprime number because it is at equal distance from previous prime (10772296699) and next prime (10772296709).

It is a self number, because there is not a number n which added to its sum of digits gives 10772296704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10772296709) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 250518507 + ... + 250518549.

It is an arithmetic number, because the mean of its divisors is an integer number (54163620).

Almost surely, 2^10772296704 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 10772296704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19065594240).

10772296704 is an abundant number, since it is smaller than the sum of its proper divisors (27358891776).

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

10772296704 is a wasteful number, since it uses less digits than its factorization.

10772296704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 10772296704 in words is "ten billion, seven hundred seventy-two million, two hundred ninety-six thousand, seven hundred four".