10627763464032 has 768 divisors, whose sum is σ = 34894055992320. Its totient is φ = 2787692544000.

The previous prime is 10627763464007. The next prime is 10627763464039. The reversal of 10627763464032 is 23046436772601.

It is a super-2 number, since 2×10627763464032² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10627763464039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2131091043 + ... + 2131096029.

It is an arithmetic number, because the mean of its divisors is an integer number (45434968740).

Almost surely, 2^{10627763464032} is an apocalyptic number.

10627763464032 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 10627763464032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17447027996160).

10627763464032 is an abundant number, since it is smaller than the sum of its proper divisors (24266292528288).

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

10627763464032 is a wasteful number, since it uses less digits than its factorization.

10627763464032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5207 (or 5199 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 51.

The spelling of 10627763464032 in words is "ten trillion, six hundred twenty-seven billion, seven hundred sixty-three million, four hundred sixty-four thousand, thirty-two".