7056016624 has 80 divisors (see below), whose sum is σ = 14836862880. Its totient is φ = 3239377920.

The previous prime is 7056016621. The next prime is 7056016663. The reversal of 7056016624 is 4266106507.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7056016621) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3294594 + ... + 3296734.

It is an arithmetic number, because the mean of its divisors is an integer number (185460786).

Almost surely, 2^7056016624 is an apocalyptic number.

7056016624 is a gapful number since it is divisible by the number (74) 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 7056016624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7418431440).

7056016624 is an abundant number, since it is smaller than the sum of its proper divisors (7780846256).

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

7056016624 is a wasteful number, since it uses less digits than its factorization.

7056016624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2498 (or 2492 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 7056016624 is about 84000.0989523227. The cubic root of 7056016624 is about 1918.0202959531.

The spelling of 7056016624 in words is "seven billion, fifty-six million, sixteen thousand, six hundred twenty-four".