7742053920 has 192 divisors, whose sum is σ = 25528172544. Its totient is φ = 1968552960.

The previous prime is 7742053919. The next prime is 7742053967. The reversal of 7742053920 is 293502477.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4227405 + ... + 4229235.

It is an arithmetic number, because the mean of its divisors is an integer number (132959232).

Almost surely, 2^7742053920 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 7742053920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12764086272).

7742053920 is an abundant number, since it is smaller than the sum of its proper divisors (17786118624).

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

7742053920 is a wasteful number, since it uses less digits than its factorization.

7742053920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2255 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 7742053920 is about 87988.9420325077. The cubic root of 7742053920 is about 1978.2692354217.

The spelling of 7742053920 in words is "seven billion, seven hundred forty-two million, fifty-three thousand, nine hundred twenty".