10764849727350 has 240 divisors, whose sum is σ = 32188954792896. Its totient is φ = 2657473920000.

The previous prime is 10764849727271. The next prime is 10764849727363. The reversal of 10764849727350 is 5372794846701.

10764849727350 is a `hidden beast` number, since 1 + 0 + 76 + 4 + 8 + 497 + 2 + 73 + 5 + 0 = 666.

10764849727350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2918275 + ... + 5481425.

It is a 1-persistent number, because it is pandigital, but 2⋅10764849727350 = 21529699454700 is not.

Almost surely, 2^{10764849727350} is an apocalyptic number.

10764849727350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10764849727350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16094477396448).

10764849727350 is an abundant number, since it is smaller than the sum of its proper divisors (21424105065546).

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

10764849727350 is a wasteful number, since it uses less digits than its factorization.

10764849727350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2563253 (or 2563239 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 10764849727350 in words is "ten trillion, seven hundred sixty-four billion, eight hundred forty-nine million, seven hundred twenty-seven thousand, three hundred fifty".