7073263680 has 224 divisors, whose sum is σ = 26190854400. Its totient is φ = 1616670720.

The previous prime is 7073263667. The next prime is 7073263709. The reversal of 7073263680 is 863623707.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 318540 + ... + 340020.

Almost surely, 2^7073263680 is an apocalyptic number.

7073263680 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 7073263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13095427200).

7073263680 is an abundant number, since it is smaller than the sum of its proper divisors (19117590720).

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

7073263680 is a wasteful number, since it uses less digits than its factorization.

7073263680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21522 (or 21498 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 7073263680 is about 84102.6972219084. The cubic root of 7073263680 is about 1919.5817665417.

The spelling of 7073263680 in words is "seven billion, seventy-three million, two hundred sixty-three thousand, six hundred eighty".