7127490240 has 896 divisors, whose sum is σ = 29494886400. Its totient is φ = 1605795840.

The previous prime is 7127490211. The next prime is 7127490259. The reversal of 7127490240 is 420947217.

7127490240 is a `hidden beast` number, since 7 + 127 + 490 + 2 + 40 = 666.

It is a super-2 number, since 2×7127490240² (a number of 21 digits) contains 22 as substring.

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 = 7127490195 and 7127490204.

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, 80084116 + ... + 80084204.

It is an arithmetic number, because the mean of its divisors is an integer number (32918400).

Almost surely, 2^7127490240 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 7127490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14747443200).

7127490240 is an abundant number, since it is smaller than the sum of its proper divisors (22367396160).

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

7127490240 is a wasteful number, since it uses less digits than its factorization.

7127490240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 7127490240 is about 84424.4647007015. The cubic root of 7127490240 is about 1924.4747194431.

The spelling of 7127490240 in words is "seven billion, one hundred twenty-seven million, four hundred ninety thousand, two hundred forty".