7605066240 has 320 divisors, whose sum is σ = 27600376320. Its totient is φ = 1984020480.

The previous prime is 7605066233. The next prime is 7605066251. The reversal of 7605066240 is 426605067.

7605066240 is a `hidden beast` number, since 7 + 605 + 0 + 6 + 6 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 7605066195 and 7605066204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3247470 + ... + 3249810.

It is an arithmetic number, because the mean of its divisors is an integer number (86251176).

Almost surely, 2^7605066240 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 7605066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13800188160).

7605066240 is an abundant number, since it is smaller than the sum of its proper divisors (19995310080).

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

7605066240 is a wasteful number, since it uses less digits than its factorization.

7605066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 7605066240 is about 87207.0309092105. The cubic root of 7605066240 is about 1966.5319211841.

The spelling of 7605066240 in words is "seven billion, six hundred five million, sixty-six thousand, two hundred forty".