10076378396760 has 512 divisors, whose sum is σ = 37258270156800. Its totient is φ = 2406591129600.

The previous prime is 10076378396759. The next prime is 10076378396831. The reversal of 10076378396760 is 6769387367001.

10076378396760 is a `hidden beast` number, since 100 + 7 + 6 + 3 + 78 + 396 + 76 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 91106454 + ... + 91216986.

It is an arithmetic number, because the mean of its divisors is an integer number (72770058900).

Almost surely, 2^{10076378396760} is an apocalyptic number.

10076378396760 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 10076378396760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18629135078400).

10076378396760 is an abundant number, since it is smaller than the sum of its proper divisors (27181891760040).

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

10076378396760 is a wasteful number, since it uses less digits than its factorization.

10076378396760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110760 (or 110750 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 63.

The spelling of 10076378396760 in words is "ten trillion, seventy-six billion, three hundred seventy-eight million, three hundred ninety-six thousand, seven hundred sixty".