7013485440 has 384 divisors, whose sum is σ = 27055173600. Its totient is φ = 1725898752.

The previous prime is 7013485399. The next prime is 7013485489. The reversal of 7013485440 is 445843107.

7013485440 is a `hidden beast` number, since 7 + 0 + 134 + 85 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 7013485395 and 7013485404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2020026 + ... + 2023494.

Almost surely, 2^7013485440 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 7013485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13527586800).

7013485440 is an abundant number, since it is smaller than the sum of its proper divisors (20041688160).

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

7013485440 is a wasteful number, since it uses less digits than its factorization.

7013485440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3516 (or 3492 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 7013485440 is about 83746.5547948093. The cubic root of 7013485440 is about 1914.1588099475.

The spelling of 7013485440 in words is "seven billion, thirteen million, four hundred eighty-five thousand, four hundred forty".