7742075904 has 220 divisors, whose sum is σ = 23873063808. Its totient is φ = 2496614400.

The previous prime is 7742075899. The next prime is 7742075947. The reversal of 7742075904 is 4095702477.

7742075904 is a `hidden beast` number, since 77 + 420 + 75 + 90 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 7742075904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2569759 + ... + 2572769.

Almost surely, 2^7742075904 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 7742075904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11936531904).

7742075904 is an abundant number, since it is smaller than the sum of its proper divisors (16130987904).

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

7742075904 is a wasteful number, since it uses less digits than its factorization.

7742075904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3074 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The square root of 7742075904 is about 87989.0669572078. The cubic root of 7742075904 is about 1978.2711078890.

The spelling of 7742075904 in words is "seven billion, seven hundred forty-two million, seventy-five thousand, nine hundred four".