7903363104 has 768 divisors, whose sum is σ = 30827381760. Its totient is φ = 1934917632.

The previous prime is 7903363057. The next prime is 7903363123. The reversal of 7903363104 is 4013633097.

7903363104 is a `hidden beast` number, since 7 + 9 + 0 + 336 + 310 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 108265212 + ... + 108265284.

It is an arithmetic number, because the mean of its divisors is an integer number (40139820).

Almost surely, 2^7903363104 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 7903363104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15413690880).

7903363104 is an abundant number, since it is smaller than the sum of its proper divisors (22924018656).

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

7903363104 is a wasteful number, since it uses less digits than its factorization.

7903363104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 7903363104 is about 88900.8610981918. The cubic root of 7903363104 is about 1991.9142799519.

The spelling of 7903363104 in words is "seven billion, nine hundred three million, three hundred sixty-three thousand, one hundred four".