10764171008640 has 768 divisors, whose sum is σ = 46956012854400. Its totient is φ = 2315650498560.

The previous prime is 10764171008627. The next prime is 10764171008741. The reversal of 10764171008640 is 4680017146701.

10764171008640 is a `hidden beast` number, since 1 + 0 + 76 + 417 + 100 + 8 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14020335 + ... + 14768145.

Almost surely, 2^{10764171008640} is an apocalyptic number.

10764171008640 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 10764171008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23478006427200).

10764171008640 is an abundant number, since it is smaller than the sum of its proper divisors (36191841845760).

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

10764171008640 is a wasteful number, since it uses less digits than its factorization.

10764171008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747870 (or 747845 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 10764171008640 in words is "ten trillion, seven hundred sixty-four billion, one hundred seventy-one million, eight thousand, six hundred forty".