264407851627920 has 2880 divisors, whose sum is σ = 1266872329981440. Its totient is φ = 47711114035200.

The previous prime is 264407851627919. The next prime is 264407851628017. The reversal of 264407851627920 is 29726158704462.

264407851627920 is a `hidden beast` number, since 2 + 6 + 4 + 4 + 0 + 7 + 8 + 516 + 27 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 23256907996 + ... + 23256919364.

It is an arithmetic number, because the mean of its divisors is an integer number (439886225688).

Almost surely, 2^{264407851627920} is an apocalyptic number.

264407851627920 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 264407851627920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633436164990720).

264407851627920 is an abundant number, since it is smaller than the sum of its proper divisors (1002464478353520).

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

264407851627920 is a wasteful number, since it uses less digits than its factorization.

264407851627920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11526 (or 11494 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 264407851627920 in words is "two hundred sixty-four trillion, four hundred seven billion, eight hundred fifty-one million, six hundred twenty-seven thousand, nine hundred twenty".