10734692935680 has 3840 divisors, whose sum is σ = 49561550438400. Its totient is φ = 2167107747840.

The previous prime is 10734692935613. The next prime is 10734692935691. The reversal of 10734692935680 is 8653929643701.

10734692935680 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 4 + 69 + 2 + 9 + 3 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 147050588124 + ... + 147050588196.

It is an arithmetic number, because the mean of its divisors is an integer number (12906653760).

It is a 2-persistent number, because it is pandigital, and so is 2⋅10734692935680 = 21469385871360, but 3⋅10734692935680 = 32204078807040 is not.

Almost surely, 2^{10734692935680} is an apocalyptic number.

10734692935680 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 10734692935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24780775219200).

10734692935680 is an abundant number, since it is smaller than the sum of its proper divisors (38826857502720).

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

10734692935680 is a wasteful number, since it uses less digits than its factorization.

10734692935680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 10734692935680 in words is "ten trillion, seven hundred thirty-four billion, six hundred ninety-two million, nine hundred thirty-five thousand, six hundred eighty".