264134734080 has 288 divisors, whose sum is σ = 971464209408. Its totient is φ = 59911987200.

The previous prime is 264134734051. The next prime is 264134734103. The reversal of 264134734080 is 80437431462.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3483775 + ... + 3558785.

It is an arithmetic number, because the mean of its divisors is an integer number (3373139616).

Almost surely, 2^264134734080 is an apocalyptic number.

264134734080 is a gapful number since it is divisible by the number (20) 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 264134734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485732104704).

264134734080 is an abundant number, since it is smaller than the sum of its proper divisors (707329475328).

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

264134734080 is a wasteful number, since it uses less digits than its factorization.

264134734080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75173 (or 75159 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 264134734080 in words is "two hundred sixty-four billion, one hundred thirty-four million, seven hundred thirty-four thousand, eighty".