7241606064 has 420 divisors, whose sum is σ = 26461809808. Its totient is φ = 1878370560.

The previous prime is 7241606041. The next prime is 7241606083. The reversal of 7241606064 is 4606061427.

7241606064 is a `hidden beast` number, since 7 + 2 + 41 + 6 + 0 + 606 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 9879042 + ... + 9879774.

Almost surely, 2^7241606064 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 7241606064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13230904904).

7241606064 is an abundant number, since it is smaller than the sum of its proper divisors (19220203744).

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

7241606064 is a wasteful number, since it uses less digits than its factorization.

7241606064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 7241606064 is about 85097.6266649076. The cubic root of 7241606064 is about 1934.6910918451.

The spelling of 7241606064 in words is "seven billion, two hundred forty-one million, six hundred six thousand, sixty-four".