10737764818812 has 288 divisors, whose sum is σ = 29661493680000. Its totient is φ = 3262394843136.

The previous prime is 10737764818811. The next prime is 10737764818819. The reversal of 10737764818812 is 21881846773701.

10737764818812 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 7 + 76 + 481 + 8 + 81 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10737764818812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10737764818811) 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, 1867759314 + ... + 1867765062.

It is an arithmetic number, because the mean of its divisors is an integer number (102991297500).

Almost surely, 2^{10737764818812} is an apocalyptic number.

10737764818812 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 10737764818812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14830746840000).

10737764818812 is an abundant number, since it is smaller than the sum of its proper divisors (18923728861188).

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

10737764818812 is a wasteful number, since it uses less digits than its factorization.

10737764818812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6565 (or 6560 counting only the distinct ones).

The product of its (nonzero) digits is 25288704, while the sum is 63.

The spelling of 10737764818812 in words is "ten trillion, seven hundred thirty-seven billion, seven hundred sixty-four million, eight hundred eighteen thousand, eight hundred twelve".