7850993040 has 1200 divisors, whose sum is σ = 34482792960. Its totient is φ = 1642291200.

The previous prime is 7850993011. The next prime is 7850993077. The reversal of 7850993040 is 403990587.

7850993040 is a `hidden beast` number, since 78 + 509 + 9 + 30 + 40 = 666.

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

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 239 ways as a sum of consecutive naturals, for example, 253257825 + ... + 253257855.

Almost surely, 2^7850993040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7850993040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17241396480).

7850993040 is an abundant number, since it is smaller than the sum of its proper divisors (26631799920).

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

7850993040 is a wasteful number, since it uses less digits than its factorization.

7850993040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 7850993040 is about 88605.8296050548. The cubic root of 7850993040 is about 1987.5048515368.

The spelling of 7850993040 in words is "seven billion, eight hundred fifty million, nine hundred ninety-three thousand, forty".