10474727760 has 320 divisors, whose sum is σ = 42195394560. Its totient is φ = 2338398720.

The previous prime is 10474727723. The next prime is 10474727801. The reversal of 10474727760 is 6772747401.

10474727760 is a `hidden beast` number, since 10 + 47 + 472 + 77 + 60 = 666.

It is a super-2 number, since 2×10474727760² (a number of 21 digits) contains 22 as substring.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 642105 + ... + 658215.

It is an arithmetic number, because the mean of its divisors is an integer number (131860608).

Almost surely, 2^10474727760 is an apocalyptic number.

10474727760 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 10474727760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21097697280).

10474727760 is an abundant number, since it is smaller than the sum of its proper divisors (31720666800).

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

10474727760 is a wasteful number, since it uses less digits than its factorization.

10474727760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16183 (or 16171 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 45.

The spelling of 10474727760 in words is "ten billion, four hundred seventy-four million, seven hundred twenty-seven thousand, seven hundred sixty".