7485017040 has 240 divisors, whose sum is σ = 26983661328. Its totient is φ = 1852637184.

The previous prime is 7485017027. The next prime is 7485017051. The reversal of 7485017040 is 407105847.

7485017040 is a `hidden beast` number, since 7 + 48 + 501 + 70 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 57335184 + 7427681856 = 7572^2 + 86184^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 = 7485016986 and 7485017004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 889332 + ... + 897708.

Almost surely, 2^7485017040 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 7485017040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13491830664).

7485017040 is an abundant number, since it is smaller than the sum of its proper divisors (19498644288).

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

7485017040 is a wasteful number, since it uses less digits than its factorization.

7485017040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8486 (or 8477 counting only the distinct ones).

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

The square root of 7485017040 is about 86515.9929723979. The cubic root of 7485017040 is about 1956.1294781742.

The spelling of 7485017040 in words is "seven billion, four hundred eighty-five million, seventeen thousand, forty".