7079071680 has 448 divisors, whose sum is σ = 27212544000. Its totient is φ = 1725566976.

The previous prime is 7079071673. The next prime is 7079071687. The reversal of 7079071680 is 861709707.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7079071673) and next prime (7079071687).

It is a super-2 number, since 2×7079071680² (a number of 21 digits) contains 22 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 not an unprimeable number, because it can be changed into a prime (7079071687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4759897 + ... + 4761383.

Almost surely, 2^7079071680 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 7079071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13606272000).

7079071680 is an abundant number, since it is smaller than the sum of its proper divisors (20133472320).

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

7079071680 is a wasteful number, since it uses less digits than its factorization.

7079071680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The square root of 7079071680 is about 84137.2193502970. The cubic root of 7079071680 is about 1920.1070252840.

The spelling of 7079071680 in words is "seven billion, seventy-nine million, seventy-one thousand, six hundred eighty".