7079945600 has 384 divisors, whose sum is σ = 22087961280. Its totient is φ = 2182348800.

The previous prime is 7079945599. The next prime is 7079945603. The reversal of 7079945600 is 65499707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7079945603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11938904 + ... + 11939496.

Almost surely, 2^7079945600 is an apocalyptic number.

7079945600 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 7079945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11043980640).

7079945600 is an abundant number, since it is smaller than the sum of its proper divisors (15008015680).

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

7079945600 is a wasteful number, since it uses less digits than its factorization.

7079945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 47.

The square root of 7079945600 is about 84142.4126110014. The cubic root of 7079945600 is about 1920.1860352146.

The spelling of 7079945600 in words is "seven billion, seventy-nine million, nine hundred forty-five thousand, six hundred".