7948283904 has 312 divisors, whose sum is σ = 26542378512. Its totient is φ = 2264924160.

The previous prime is 7948283899. The next prime is 7948283923. The reversal of 7948283904 is 4093828497.

7948283904 is a `hidden beast` number, since 79 + 482 + 8 + 3 + 90 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6892992 + ... + 6894144.

It is an arithmetic number, because the mean of its divisors is an integer number (85071726).

Almost surely, 2^7948283904 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 7948283904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13271189256).

7948283904 is an abundant number, since it is smaller than the sum of its proper divisors (18594094608).

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

7948283904 is a wasteful number, since it uses less digits than its factorization.

7948283904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 7948283904 is about 89153.1485927446. The cubic root of 7948283904 is about 1995.6810051890.

The spelling of 7948283904 in words is "seven billion, nine hundred forty-eight million, two hundred eighty-three thousand, nine hundred four".