10677346999632 has 480 divisors, whose sum is σ = 31747965500160. Its totient is φ = 3345320632320.

The previous prime is 10677346999531. The next prime is 10677346999633. The reversal of 10677346999632 is 23699964377601.

10677346999632 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 73 + 469 + 9 + 96 + 3 + 2 = 666.

It is a super-2 number, since 2×10677346999632² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10677346999633) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13567149543 + ... + 13567150329.

It is an arithmetic number, because the mean of its divisors is an integer number (66141594792).

Almost surely, 2^{10677346999632} is an apocalyptic number.

10677346999632 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 10677346999632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15873982750080).

10677346999632 is an abundant number, since it is smaller than the sum of its proper divisors (21070618500528).

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

10677346999632 is a wasteful number, since it uses less digits than its factorization.

10677346999632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 555532992, while the sum is 72.

The spelling of 10677346999632 in words is "ten trillion, six hundred seventy-seven billion, three hundred forty-six million, nine hundred ninety-nine thousand, six hundred thirty-two".