10632940277760 has 416 divisors, whose sum is σ = 37856699861760. Its totient is φ = 2831302656000.

The previous prime is 10632940277759. The next prime is 10632940277767. The reversal of 10632940277760 is 6777204923601.

10632940277760 is a `hidden beast` number, since 1 + 0 + 6 + 329 + 40 + 277 + 7 + 6 + 0 = 666.

It is a super-2 number, since 2×10632940277760² (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 junction number, because it is equal to n+sod(n) for n = 10632940277697 and 10632940277706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10632940277767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 387611245 + ... + 387638675.

It is an arithmetic number, because the mean of its divisors is an integer number (91001682360).

Almost surely, 2^{10632940277760} is an apocalyptic number.

10632940277760 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 10632940277760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18928349930880).

10632940277760 is an abundant number, since it is smaller than the sum of its proper divisors (27223759584000).

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

10632940277760 is an equidigital number, since it uses as much as digits as its factorization.

10632940277760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28170 (or 28142 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 10632940277760 in words is "ten trillion, six hundred thirty-two billion, nine hundred forty million, two hundred seventy-seven thousand, seven hundred sixty".