10649743972736 has 256 divisors, whose sum is σ = 25493491584000. Its totient is φ = 4374309273600.

The previous prime is 10649743972691. The next prime is 10649743972807. The reversal of 10649743972736 is 63727934794601.

It is a super-2 number, since 2×10649743972736² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124208921 + ... + 124294631.

It is an arithmetic number, because the mean of its divisors is an integer number (99583951500).

Almost surely, 2^{10649743972736} is an apocalyptic number.

10649743972736 is a gapful number since it is divisible by the number (16) 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 10649743972736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12746745792000).

10649743972736 is an abundant number, since it is smaller than the sum of its proper divisors (14843747611264).

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

10649743972736 is a wasteful number, since it uses less digits than its factorization.

10649743972736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85961 (or 85949 counting only the distinct ones).

The product of its (nonzero) digits is 288054144, while the sum is 68.

The spelling of 10649743972736 in words is "ten trillion, six hundred forty-nine billion, seven hundred forty-three million, nine hundred seventy-two thousand, seven hundred thirty-six".