10760072631 has 48 divisors (see below), whose sum is σ = 18224517888. Its totient is φ = 5584051200.

The previous prime is 10760072611. The next prime is 10760072639. The reversal of 10760072631 is 13627006701.

It is not a de Polignac number, because 10760072631 - 2¹¹ = 10760070583 is a prime.

It is a super-2 number, since 2×10760072631² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 10760072592 and 10760072601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10760072639) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1974871 + ... + 1980311.

It is an arithmetic number, because the mean of its divisors is an integer number (379677456).

Almost surely, 2^10760072631 is an apocalyptic number.

10760072631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10760072631 is a deficient number, since it is larger than the sum of its proper divisors (7464445257).

10760072631 is a wasteful number, since it uses less digits than its factorization.

10760072631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6692 (or 6685 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The spelling of 10760072631 in words is "ten billion, seven hundred sixty million, seventy-two thousand, six hundred thirty-one".