7000668900 has 81 divisors (see below), whose sum is σ = 21951078331. Its totient is φ = 1866175680.

The previous prime is 7000668863. The next prime is 7000668911. The reversal of 7000668900 is 98660007.

The square root of 7000668900 is 83670.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1004004 + 6999664896 = 1002^2 + 83664^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2508706 + ... + 2511494.

Almost surely, 2^7000668900 is an apocalyptic number.

7000668900 is the 83670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7000668900

7000668900 is an abundant number, since it is smaller than the sum of its proper divisors (14950409431).

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

7000668900 is a wasteful number, since it uses less digits than its factorization.

7000668900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5598 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The cubic root of 7000668900 is about 1912.9921122445.

Multiplying 7000668900 by its sum of digits (36), we get a square (252024080400 = 502020²).

7000668900 divided by its sum of digits (36) gives a square (194463025 = 13945²).

The spelling of 7000668900 in words is "seven billion, six hundred sixty-eight thousand, nine hundred".