10064177760 has 384 divisors, whose sum is σ = 39382640640. Its totient is φ = 2103607296.

The previous prime is 10064177749. The next prime is 10064177779. The reversal of 10064177760 is 6777146001.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 4934821 + ... + 4936859.

It is an arithmetic number, because the mean of its divisors is an integer number (102558960).

Almost surely, 2^10064177760 is an apocalyptic number.

10064177760 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 10064177760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19691320320).

10064177760 is an abundant number, since it is smaller than the sum of its proper divisors (29318462880).

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

10064177760 is a wasteful number, since it uses less digits than its factorization.

10064177760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 39.

The spelling of 10064177760 in words is "ten billion, sixty-four million, one hundred seventy-seven thousand, seven hundred sixty".