10690264645632 has 1260 divisors, whose sum is σ = 38011182063540. Its totient is φ = 2985028485120.

The previous prime is 10690264645579. The next prime is 10690264645637. The reversal of 10690264645632 is 23654646209601.

10690264645632 is a `hidden beast` number, since 10 + 6 + 9 + 0 + 2 + 6 + 4 + 64 + 563 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1670669991936 + 9019594653696 = 1292544^2 + 3003264^2 .

It is a super-2 number, since 2×10690264645632² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10690264645637) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 18787811044 + ... + 18787811612.

Almost surely, 2^{10690264645632} is an apocalyptic number.

10690264645632 is a gapful number since it is divisible by the number (12) 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 10690264645632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19005591031770).

10690264645632 is an abundant number, since it is smaller than the sum of its proper divisors (27320917417908).

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

10690264645632 is an frugal number, since it uses more digits than its factorization.

10690264645632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 10690264645632 in words is "ten trillion, six hundred ninety billion, two hundred sixty-four million, six hundred forty-five thousand, six hundred thirty-two".