264766061917434 has 256 divisors, whose sum is σ = 707775551078400. Its totient is φ = 64025726054400.

The previous prime is 264766061917433. The next prime is 264766061917501. The reversal of 264766061917434 is 434719160667462.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (264766061917433) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44355382 + ... + 49969310.

It is an arithmetic number, because the mean of its divisors is an integer number (2764748246400).

Almost surely, 2^{264766061917434} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264766061917434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353887775539200).

264766061917434 is an abundant number, since it is smaller than the sum of its proper divisors (443009489160966).

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

264766061917434 is a wasteful number, since it uses less digits than its factorization.

264766061917434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5614109.

The product of its (nonzero) digits is 219469824, while the sum is 66.

The spelling of 264766061917434 in words is "two hundred sixty-four trillion, seven hundred sixty-six billion, sixty-one million, nine hundred seventeen thousand, four hundred thirty-four".