7275018240 has 720 divisors, whose sum is σ = 30502672200. Its totient is φ = 1653571584.

The previous prime is 7275018239. The next prime is 7275018259. The reversal of 7275018240 is 428105727.

7275018240 is a `hidden beast` number, since 72 + 7 + 501 + 82 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 7275018195 and 7275018204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 40642471 + ... + 40642649.

Almost surely, 2^7275018240 is an apocalyptic number.

7275018240 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 7275018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15251336100).

7275018240 is an abundant number, since it is smaller than the sum of its proper divisors (23227653960).

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

7275018240 is a wasteful number, since it uses less digits than its factorization.

7275018240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 7275018240 is about 85293.7174708665. The cubic root of 7275018240 is about 1937.6620292659.

The spelling of 7275018240 in words is "seven billion, two hundred seventy-five million, eighteen thousand, two hundred forty".