10275416734464 has 324 divisors, whose sum is σ = 34490531995920. Its totient is φ = 2933534822400.

The previous prime is 10275416734433. The next prime is 10275416734519. The reversal of 10275416734464 is 46443761457201.

10275416734464 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 541 + 6 + 7 + 34 + 4 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10275416734464.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 146842717 + ... + 146912675.

Almost surely, 2^{10275416734464} is an apocalyptic number.

10275416734464 is a gapful number since it is divisible by the number (14) 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 10275416734464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17245265997960).

10275416734464 is an abundant number, since it is smaller than the sum of its proper divisors (24215115261456).

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

10275416734464 is a wasteful number, since it uses less digits than its factorization.

10275416734464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71296 (or 71272 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 10275416734464 in words is "ten trillion, two hundred seventy-five billion, four hundred sixteen million, seven hundred thirty-four thousand, four hundred sixty-four".