10427376960 has 672 divisors, whose sum is σ = 48168836352. Its totient is φ = 1999503360.

The previous prime is 10427376941. The next prime is 10427377001. The reversal of 10427376960 is 6967372401.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2881072 + ... + 2884688.

It is an arithmetic number, because the mean of its divisors is an integer number (71679816).

Almost surely, 2^10427376960 is an apocalyptic number.

10427376960 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 10427376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24084418176).

10427376960 is an abundant number, since it is smaller than the sum of its proper divisors (37741459392).

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

10427376960 is a wasteful number, since it uses less digits than its factorization.

10427376960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3671 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 10427376960 in words is "ten billion, four hundred twenty-seven million, three hundred seventy-six thousand, nine hundred sixty".