7940849904 has 400 divisors, whose sum is σ = 25814201952. Its totient is φ = 2341011456.

The previous prime is 7940849899. The next prime is 7940849909. The reversal of 7940849904 is 4099480497.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7940849899) and next prime (7940849909).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7940849909) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 70272952 + ... + 70273064.

Almost surely, 2^7940849904 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 7940849904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12907100976).

7940849904 is an abundant number, since it is smaller than the sum of its proper divisors (17873352048).

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

7940849904 is a wasteful number, since it uses less digits than its factorization.

7940849904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 7940849904 is about 89111.4465374679. The cubic root of 7940849904 is about 1995.0586268033.

The spelling of 7940849904 in words is "seven billion, nine hundred forty million, eight hundred forty-nine thousand, nine hundred four".