7605906048 has 512 divisors, whose sum is σ = 25735987200. Its totient is φ = 2194698240.

The previous prime is 7605906047. The next prime is 7605906071. The reversal of 7605906048 is 8406095067.

It is a super-2 number, since 2×7605906048² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7605905994 and 7605906012.

It is not an unprimeable number, because it can be changed into a prime (7605906043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 59888961 + ... + 59889087.

It is an arithmetic number, because the mean of its divisors is an integer number (50265600).

Almost surely, 2^7605906048 is an apocalyptic number.

7605906048 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7605906048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12867993600).

7605906048 is an abundant number, since it is smaller than the sum of its proper divisors (18130081152).

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

7605906048 is a wasteful number, since it uses less digits than its factorization.

7605906048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 7605906048 is about 87211.8458009002. The cubic root of 7605906048 is about 1966.6043048820.

The spelling of 7605906048 in words is "seven billion, six hundred five million, nine hundred six thousand, forty-eight".