7110642240 has 896 divisors, whose sum is σ = 29187648000. Its totient is φ = 1616412672.

The previous prime is 7110642229. The next prime is 7110642271. The reversal of 7110642240 is 422460117.

7110642240 is a `hidden beast` number, since 7 + 1 + 10 + 642 + 2 + 4 + 0 = 666.

It is a super-2 number, since 2×7110642240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 120519331 + ... + 120519389.

It is an arithmetic number, because the mean of its divisors is an integer number (32575500).

Almost surely, 2^7110642240 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 7110642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14593824000).

7110642240 is an abundant number, since it is smaller than the sum of its proper divisors (22077005760).

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

7110642240 is a wasteful number, since it uses less digits than its factorization.

7110642240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 7110642240 is about 84324.6241616291. The cubic root of 7110642240 is about 1922.9571618252.

The spelling of 7110642240 in words is "seven billion, one hundred ten million, six hundred forty-two thousand, two hundred forty".