10607276460 has 192 divisors, whose sum is σ = 33664232448. Its totient is φ = 2472960000.

The previous prime is 10607276447. The next prime is 10607276527. The reversal of 10607276460 is 6467270601.

10607276460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10607276460² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1918500 + ... + 1924020.

It is an arithmetic number, because the mean of its divisors is an integer number (175334544).

Almost surely, 2^10607276460 is an apocalyptic number.

10607276460 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 10607276460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16832116224).

10607276460 is an abundant number, since it is smaller than the sum of its proper divisors (23056955988).

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

10607276460 is a wasteful number, since it uses less digits than its factorization.

10607276460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5656 (or 5654 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 10607276460 in words is "ten billion, six hundred seven million, two hundred seventy-six thousand, four hundred sixty".