264432451152330 has 192 divisors, whose sum is σ = 747111977164800. Its totient is φ = 64644119556480.

The previous prime is 264432451152281. The next prime is 264432451152343. The reversal of 264432451152330 is 33251154234462.

264432451152330 is a `hidden beast` number, since 2 + 6 + 4 + 43 + 2 + 4 + 51 + 1 + 523 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 725365641 + ... + 725730099.

It is an arithmetic number, because the mean of its divisors is an integer number (3891208214400).

Almost surely, 2^{264432451152330} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264432451152330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373555988582400).

264432451152330 is an abundant number, since it is smaller than the sum of its proper divisors (482679526012470).

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

264432451152330 is a wasteful number, since it uses less digits than its factorization.

264432451152330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378209 (or 378206 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 264432451152330 in words is "two hundred sixty-four trillion, four hundred thirty-two billion, four hundred fifty-one million, one hundred fifty-two thousand, three hundred thirty".