7926085440 has 896 divisors, whose sum is σ = 36499921920. Its totient is φ = 1571291136.

The previous prime is 7926085417. The next prime is 7926085451. The reversal of 7926085440 is 445806297.

It is a happy number.

7926085440 is a `hidden beast` number, since 79 + 2 + 60 + 85 + 440 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13365784 + ... + 13366376.

It is an arithmetic number, because the mean of its divisors is an integer number (40736520).

Almost surely, 2^7926085440 is an apocalyptic number.

7926085440 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 7926085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18249960960).

7926085440 is an abundant number, since it is smaller than the sum of its proper divisors (28573836480).

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

7926085440 is a wasteful number, since it uses less digits than its factorization.

7926085440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 7926085440 is about 89028.5653035024. The cubic root of 7926085440 is about 1993.8213853497.

The spelling of 7926085440 in words is "seven billion, nine hundred twenty-six million, eighty-five thousand, four hundred forty".