7826865459840 has 2688 divisors, whose sum is σ = 35352478166400. Its totient is φ = 1645647446016.

The previous prime is 7826865459779. The next prime is 7826865459851. The reversal of 7826865459840 is 489545686287.

7826865459840 is a `hidden beast` number, since 7 + 8 + 26 + 8 + 6 + 5 + 4 + 598 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×7826865459840² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 335 ways as a sum of consecutive naturals, for example, 16071592077 + ... + 16071592563.

Almost surely, 2^{7826865459840} is an apocalyptic number.

7826865459840 is a gapful number since it is divisible by the number (70) 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 7826865459840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17676239083200).

7826865459840 is an abundant number, since it is smaller than the sum of its proper divisors (27525612706560).

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

7826865459840 is a wasteful number, since it uses less digits than its factorization.

7826865459840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 72.

The spelling of 7826865459840 in words is "seven trillion, eight hundred twenty-six billion, eight hundred sixty-five million, four hundred fifty-nine thousand, eight hundred forty".