7605642240 has 1056 divisors, whose sum is σ = 34028017920. Its totient is φ = 1528823808.

The previous prime is 7605642211. The next prime is 7605642241. The reversal of 7605642240 is 422465067.

7605642240 is a `hidden beast` number, since 7 + 6 + 0 + 5 + 642 + 2 + 4 + 0 = 666.

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 = 7605642195 and 7605642204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7605642241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104186844 + ... + 104186916.

Almost surely, 2^7605642240 is an apocalyptic number.

7605642240 is a gapful number since it is divisible by the number (70) 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 7605642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17014008960).

7605642240 is an abundant number, since it is smaller than the sum of its proper divisors (26422375680).

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

7605642240 is a wasteful number, since it uses less digits than its factorization.

7605642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 7605642240 is about 87210.3333326963. Note that the first 5 decimals coincide. The cubic root of 7605642240 is about 1966.5815676415.

The spelling of 7605642240 in words is "seven billion, six hundred five million, six hundred forty-two thousand, two hundred forty".