10427677456 has 75 divisors (see below), whose sum is σ = 23614819253. Its totient is φ = 4460426880.

The previous prime is 10427677441. The next prime is 10427677457. The reversal of 10427677456 is 65477672401.

The square root of 10427677456 is 102116.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2990339856 + 7437337600 = 54684^2 + 86240^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10427677457) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 20014476 + ... + 20014996.

Almost surely, 2^10427677456 is an apocalyptic number.

10427677456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10427677456 is the 102116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10427677456

10427677456 is an abundant number, since it is smaller than the sum of its proper divisors (13187141797).

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

10427677456 is an frugal number, since it uses more digits than its factorization.

10427677456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 49.

Multiplying 10427677456 by its sum of digits (49), we get a square (510956195344 = 714812²).

10427677456 divided by its sum of digits (49) gives a square (212809744 = 14588²).

The spelling of 10427677456 in words is "ten billion, four hundred twenty-seven million, six hundred seventy-seven thousand, four hundred fifty-six".