7826232960 has 1152 divisors, whose sum is σ = 35553772800. Its totient is φ = 1630347264.

The previous prime is 7826232959. The next prime is 7826232979. The reversal of 7826232960 is 692326287.

7826232960 is a `hidden beast` number, since 7 + 8 + 262 + 329 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×7826232960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 99066201 + ... + 99066279.

It is an arithmetic number, because the mean of its divisors is an integer number (30862650).

Almost surely, 2^7826232960 is an apocalyptic number.

7826232960 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 7826232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17776886400).

7826232960 is an abundant number, since it is smaller than the sum of its proper divisors (27727539840).

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

7826232960 is a wasteful number, since it uses less digits than its factorization.

7826232960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 7826232960 is about 88465.9988922298. The cubic root of 7826232960 is about 1985.4132858559.

The spelling of 7826232960 in words is "seven billion, eight hundred twenty-six million, two hundred thirty-two thousand, nine hundred sixty".