7056241920 has 864 divisors, whose sum is σ = 30855831552. Its totient is φ = 1449197568.

The previous prime is 7056241889. The next prime is 7056241937. The reversal of 7056241920 is 291426507.

7056241920 is a `hidden beast` number, since 7 + 0 + 5 + 624 + 1 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55560897 + ... + 55561023.

It is an arithmetic number, because the mean of its divisors is an integer number (35712768).

Almost surely, 2^7056241920 is an apocalyptic number.

7056241920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7056241920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15427915776).

7056241920 is an abundant number, since it is smaller than the sum of its proper divisors (23799589632).

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

7056241920 is a wasteful number, since it uses less digits than its factorization.

7056241920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 7056241920 is about 84001.4399876574. The cubic root of 7056241920 is about 1918.0407096287.

The spelling of 7056241920 in words is "seven billion, fifty-six million, two hundred forty-one thousand, nine hundred twenty".