10426742667264 has 1536 divisors, whose sum is σ = 37946332569600. Its totient is φ = 2464591380480.

The previous prime is 10426742667259. The next prime is 10426742667293. The reversal of 10426742667264 is 46276624762401.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-3 number, since 3×10426742667264³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35586152302 + ... + 35586152594.

It is an arithmetic number, because the mean of its divisors is an integer number (24704643600).

Almost surely, 2^{10426742667264} is an apocalyptic number.

10426742667264 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 10426742667264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18973166284800).

10426742667264 is an abundant number, since it is smaller than the sum of its proper divisors (27519589902336).

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

10426742667264 is a wasteful number, since it uses less digits than its factorization.

10426742667264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 57.

The spelling of 10426742667264 in words is "ten trillion, four hundred twenty-six billion, seven hundred forty-two million, six hundred sixty-seven thousand, two hundred sixty-four".