7004551680 has 640 divisors, whose sum is σ = 29415260160. Its totient is φ = 1546076160.

The previous prime is 7004551651. The next prime is 7004551751. The reversal of 7004551680 is 861554007.

It is a tau number, because it is divible by the number of its divisors (640).

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

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 63 ways as a sum of consecutive naturals, for example, 14998807 + ... + 14999273.

It is an arithmetic number, because the mean of its divisors is an integer number (45961344).

Almost surely, 2^7004551680 is an apocalyptic number.

7004551680 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 7004551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14707630080).

7004551680 is an abundant number, since it is smaller than the sum of its proper divisors (22410708480).

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

7004551680 is a wasteful number, since it uses less digits than its factorization.

7004551680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 7004551680 is about 83693.1997237529. The cubic root of 7004551680 is about 1913.3457143944.

The spelling of 7004551680 in words is "seven billion, four million, five hundred fifty-one thousand, six hundred eighty".