264083382823680 has 648 divisors, whose sum is σ = 1063685487664800. Its totient is φ = 60315982626816.

The previous prime is 264083382823571. The next prime is 264083382823697. The reversal of 264083382823680 is 86328283380462.

It is a happy number.

264083382823680 is a `hidden beast` number, since 2 + 6 + 40 + 8 + 338 + 28 + 236 + 8 + 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 744371776 + ... + 744726464.

It is an arithmetic number, because the mean of its divisors is an integer number (1641489950100).

Almost surely, 2^{264083382823680} is an apocalyptic number.

264083382823680 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 264083382823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531842743832400).

264083382823680 is an abundant number, since it is smaller than the sum of its proper divisors (799602104841120).

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

264083382823680 is a wasteful number, since it uses less digits than its factorization.

264083382823680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356049 (or 356025 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 63.

The spelling of 264083382823680 in words is "two hundred sixty-four trillion, eighty-three billion, three hundred eighty-two million, eight hundred twenty-three thousand, six hundred eighty".