10314802764 has 288 divisors, whose sum is σ = 33004142080. Its totient is φ = 2751211008.

The previous prime is 10314802753. The next prime is 10314802777. The reversal of 10314802764 is 46720841301.

10314802764 is a `hidden beast` number, since 103 + 1 + 480 + 2 + 76 + 4 = 666.

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 95 ways as a sum of consecutive naturals, for example, 9436602 + ... + 9437694.

Almost surely, 2^10314802764 is an apocalyptic number.

10314802764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10314802764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16502071040).

10314802764 is an abundant number, since it is smaller than the sum of its proper divisors (22689339316).

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

10314802764 is a wasteful number, since it uses less digits than its factorization.

10314802764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 10314802764 in words is "ten billion, three hundred fourteen million, eight hundred two thousand, seven hundred sixty-four".