10727457408 has 96 divisors (see below), whose sum is σ = 31392784800. Its totient is φ = 3515189760.

The previous prime is 10727457371. The next prime is 10727457409. The reversal of 10727457408 is 80475472701.

10727457408 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 74 + 574 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (10727457409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 10948 + ... + 146883.

It is an arithmetic number, because the mean of its divisors is an integer number (327008175).

Almost surely, 2^10727457408 is an apocalyptic number.

10727457408 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 10727457408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15696392400).

10727457408 is an abundant number, since it is smaller than the sum of its proper divisors (20665327392).

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

10727457408 is a wasteful number, since it uses less digits than its factorization.

10727457408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157910 (or 157895 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

The spelling of 10727457408 in words is "ten billion, seven hundred twenty-seven million, four hundred fifty-seven thousand, four hundred eight".