10268761402368 has 1584 divisors, whose sum is σ = 36960098797440. Its totient is φ = 2838309175296.

The previous prime is 10268761402349. The next prime is 10268761402373. The reversal of 10268761402368 is 86320416786201.

It is a happy number.

10268761402368 is a `hidden beast` number, since 1 + 0 + 268 + 7 + 6 + 14 + 0 + 2 + 368 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 73875981243 + ... + 73875981381.

Almost surely, 2^{10268761402368} is an apocalyptic number.

10268761402368 is a gapful number since it is divisible by the number (18) 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 10268761402368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18480049398720).

10268761402368 is an abundant number, since it is smaller than the sum of its proper divisors (26691337395072).

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

10268761402368 is an equidigital number, since it uses as much as digits as its factorization.

10268761402368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 10268761402368 in words is "ten trillion, two hundred sixty-eight billion, seven hundred sixty-one million, four hundred two thousand, three hundred sixty-eight".