7085724480 has 336 divisors, whose sum is σ = 25442411904. Its totient is φ = 1877022720.

The previous prime is 7085724461. The next prime is 7085724557. The reversal of 7085724480 is 844275807.

7085724480 is a `hidden beast` number, since 70 + 8 + 572 + 4 + 4 + 8 + 0 = 666.

It is a super-3 number, since 3×7085724480³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 22783525 + ... + 22783835.

It is an arithmetic number, because the mean of its divisors is an integer number (75721464).

Almost surely, 2^7085724480 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 7085724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12721205952).

7085724480 is an abundant number, since it is smaller than the sum of its proper divisors (18356687424).

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

7085724480 is a wasteful number, since it uses less digits than its factorization.

7085724480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 7085724480 is about 84176.7454823480. The cubic root of 7085724480 is about 1920.7083323977.

The spelling of 7085724480 in words is "seven billion, eighty-five million, seven hundred twenty-four thousand, four hundred eighty".