7742385990 has 192 divisors, whose sum is σ = 21776781312. Its totient is φ = 1901491200.

The previous prime is 7742385977. The next prime is 7742386013. The reversal of 7742385990 is 995832477.

7742385990 is a `hidden beast` number, since 7 + 7 + 42 + 3 + 8 + 599 + 0 = 666.

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, 28569555 + ... + 28569825.

It is an arithmetic number, because the mean of its divisors is an integer number (113420736).

Almost surely, 2^7742385990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7742385990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10888390656).

7742385990 is an abundant number, since it is smaller than the sum of its proper divisors (14034395322).

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

7742385990 is a wasteful number, since it uses less digits than its factorization.

7742385990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 7742385990 is about 87990.8290107554. The cubic root of 7742385990 is about 1978.2975188066.

The spelling of 7742385990 in words is "seven billion, seven hundred forty-two million, three hundred eighty-five thousand, nine hundred ninety".