10276976448 has 168 divisors, whose sum is σ = 30165434208. Its totient is φ = 3343961088.

The previous prime is 10276976441. The next prime is 10276976453. The reversal of 10276976448 is 84467967201.

10276976448 is a `hidden beast` number, since 102 + 7 + 6 + 97 + 6 + 448 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10276976394 and 10276976403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10276976441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6929115 + ... + 6930597.

It is an arithmetic number, because the mean of its divisors is an integer number (179556156).

Almost surely, 2^10276976448 is an apocalyptic number.

10276976448 is a gapful number since it is divisible by the number (18) 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 10276976448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15082717104).

10276976448 is an abundant number, since it is smaller than the sum of its proper divisors (19888457760).

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

10276976448 is a wasteful number, since it uses less digits than its factorization.

10276976448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 10276976448 in words is "ten billion, two hundred seventy-six million, nine hundred seventy-six thousand, four hundred forty-eight".