264949401600 has 1152 divisors, whose sum is σ = 1095342393600. Its totient is φ = 62285414400.

The previous prime is 264949401599. The next prime is 264949401601. The reversal of 264949401600 is 6104949462.

It is an interprime number because it is at equal distance from previous prime (264949401599) and next prime (264949401601).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (264949401601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 413337280 + ... + 413337920.

It is an arithmetic number, because the mean of its divisors is an integer number (950818050).

Almost surely, 2^264949401600 is an apocalyptic number.

264949401600 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 264949401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547671196800).

264949401600 is an abundant number, since it is smaller than the sum of its proper divisors (830392992000).

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

264949401600 is a wasteful number, since it uses less digits than its factorization.

264949401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 264949401600 in words is "two hundred sixty-four billion, nine hundred forty-nine million, four hundred one thousand, six hundred".