7056059040 has 288 divisors, whose sum is σ = 25184839680. Its totient is φ = 1865493504.

The previous prime is 7056059029. The next prime is 7056059057. The reversal of 7056059040 is 409506507.

7056059040 is a `hidden beast` number, since 7 + 0 + 5 + 60 + 590 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 7056058986 and 7056059004.

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, 4937046 + ... + 4938474.

It is an arithmetic number, because the mean of its divisors is an integer number (87447360).

Almost surely, 2^7056059040 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 7056059040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12592419840).

7056059040 is an abundant number, since it is smaller than the sum of its proper divisors (18128780640).

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

7056059040 is a wasteful number, since it uses less digits than its factorization.

7056059040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 7056059040 is about 84000.3514278363. The cubic root of 7056059040 is about 1918.0241392257.

It can be divided in two parts, 70560 and 59040, that added together give a square (129600 = 360²).

The spelling of 7056059040 in words is "seven billion, fifty-six million, fifty-nine thousand, forty".