7527290040 has 512 divisors, whose sum is σ = 28304640000. Its totient is φ = 1770024960.

The previous prime is 7527290011. The next prime is 7527290041. The reversal of 7527290040 is 400927257.

7527290040 is a `hidden beast` number, since 7 + 527 + 2 + 90 + 0 + 40 = 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 = 7527289977 and 7527290004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7527290041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19350166 + ... + 19350554.

It is an arithmetic number, because the mean of its divisors is an integer number (55282500).

Almost surely, 2^7527290040 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 7527290040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14152320000).

7527290040 is an abundant number, since it is smaller than the sum of its proper divisors (20777349960).

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

7527290040 is a wasteful number, since it uses less digits than its factorization.

7527290040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 7527290040 is about 86759.9564315243. The cubic root of 7527290040 is about 1959.8051000147.

The spelling of 7527290040 in words is "seven billion, five hundred twenty-seven million, two hundred ninety thousand, forty".