7904785607334 has 192 divisors, whose sum is σ = 22400631751680. Its totient is φ = 1954469664000.

The previous prime is 7904785607291. The next prime is 7904785607353. The reversal of 7904785607334 is 4337065874097.

7904785607334 is a `hidden beast` number, since 7 + 9 + 0 + 478 + 5 + 60 + 73 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1468804 + ... + 4238744.

It is an arithmetic number, because the mean of its divisors is an integer number (116669957040).

Almost surely, 2^{7904785607334} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7904785607334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11200315875840).

7904785607334 is an abundant number, since it is smaller than the sum of its proper divisors (14495846144346).

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

7904785607334 is a wasteful number, since it uses less digits than its factorization.

7904785607334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770067 (or 2770064 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 7904785607334 in words is "seven trillion, nine hundred four billion, seven hundred eighty-five million, six hundred seven thousand, three hundred thirty-four".