10064777360 has 80 divisors (see below), whose sum is σ = 25554614400. Its totient is φ = 3656094720.

The previous prime is 10064777357. The next prime is 10064777417. The reversal of 10064777360 is 6377746001.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 917669 + ... + 928571.

It is an arithmetic number, because the mean of its divisors is an integer number (319432680).

Almost surely, 2^10064777360 is an apocalyptic number.

10064777360 is a gapful number since it is divisible by the number (10) 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 10064777360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12777307200).

10064777360 is an abundant number, since it is smaller than the sum of its proper divisors (15489837040).

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

10064777360 is a wasteful number, since it uses less digits than its factorization.

10064777360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11976 (or 11970 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 41.

The spelling of 10064777360 in words is "ten billion, sixty-four million, seven hundred seventy-seven thousand, three hundred sixty".