1825722864 has 240 divisors, whose sum is σ = 5998187520. Its totient is φ = 507686400.

The previous prime is 1825722817. The next prime is 1825722893. The reversal of 1825722864 is 4682275281.

1825722864 is a `hidden beast` number, since 18 + 2 + 572 + 2 + 8 + 64 = 666.

It is a super-4 number, since 4×1825722864⁴ (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8042719 + ... + 8042945.

It is an arithmetic number, because the mean of its divisors is an integer number (24992448).

Almost surely, 2^1825722864 is an apocalyptic number.

1825722864 is a gapful number since it is divisible by the number (14) 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 1825722864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2999093760).

1825722864 is an abundant number, since it is smaller than the sum of its proper divisors (4172464656).

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

1825722864 is a wasteful number, since it uses less digits than its factorization.

1825722864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 419 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 1825722864 is about 42728.4783721583. The cubic root of 1825722864 is about 1222.2075198280.

The spelling of 1825722864 in words is "one billion, eight hundred twenty-five million, seven hundred twenty-two thousand, eight hundred sixty-four".