264419627472 has 640 divisors, whose sum is σ = 1039933440000. Its totient is φ = 63392232960.

The previous prime is 264419627453. The next prime is 264419627491. The reversal of 264419627472 is 274726914462.

264419627472 is a `hidden beast` number, since 2 + 6 + 4 + 4 + 1 + 9 + 627 + 4 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (264419627453) and next prime (264419627491).

It is a super-2 number, since 2×264419627472² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21182929 + ... + 21195407.

It is an arithmetic number, because the mean of its divisors is an integer number (1624896000).

Almost surely, 2^264419627472 is an apocalyptic number.

264419627472 is a gapful number since it is divisible by the number (22) 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 264419627472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519966720000).

264419627472 is an abundant number, since it is smaller than the sum of its proper divisors (775513812528).

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

264419627472 is a wasteful number, since it uses less digits than its factorization.

264419627472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12541 (or 12515 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The spelling of 264419627472 in words is "two hundred sixty-four billion, four hundred nineteen million, six hundred twenty-seven thousand, four hundred seventy-two".