10341720576 has 320 divisors, whose sum is σ = 34129244160. Its totient is φ = 3065057280.

The previous prime is 10341720533. The next prime is 10341720581. The reversal of 10341720576 is 67502714301.

It is a happy number.

10341720576 is a `hidden beast` number, since 10 + 3 + 4 + 1 + 72 + 0 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10341720576.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7146285 + ... + 7147731.

It is an arithmetic number, because the mean of its divisors is an integer number (106653888).

Almost surely, 2^10341720576 is an apocalyptic number.

10341720576 is a gapful number since it is divisible by the number (16) 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 10341720576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17064622080).

10341720576 is an abundant number, since it is smaller than the sum of its proper divisors (23787523584).

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

10341720576 is a wasteful number, since it uses less digits than its factorization.

10341720576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 10341720576 in words is "ten billion, three hundred forty-one million, seven hundred twenty thousand, five hundred seventy-six".