264029742460 has 48 divisors (see below), whose sum is σ = 631166764032. Its totient is φ = 91836430400.

The previous prime is 264029742407. The next prime is 264029742461. The reversal of 264029742460 is 64247920462.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 264029742460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264029742461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26084836 + ... + 26094955.

It is an arithmetic number, because the mean of its divisors is an integer number (13149307584).

Almost surely, 2^264029742460 is an apocalyptic number.

264029742460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264029742460 is an abundant number, since it is smaller than the sum of its proper divisors (367137021572).

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

264029742460 is a wasteful number, since it uses less digits than its factorization.

264029742460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52179834 (or 52179832 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 46.

The spelling of 264029742460 in words is "two hundred sixty-four billion, twenty-nine million, seven hundred forty-two thousand, four hundred sixty".