6992107920 has 900 divisors, whose sum is σ = 30303293724. Its totient is φ = 1489259520.

The previous prime is 6992107919. The next prime is 6992107931. The reversal of 6992107920 is 297012996.

It can be written as a sum of positive squares in 2 ways, for example, as 1123322256 + 5868785664 = 33516^2 + 76608^2 .

It is a super-3 number, since 3×6992107920³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 114624690 + ... + 114624750.

Almost surely, 2^6992107920 is an apocalyptic number.

6992107920 is a gapful number since it is divisible by the number (60) 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 6992107920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15151646862).

6992107920 is an abundant number, since it is smaller than the sum of its proper divisors (23311185804).

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

6992107920 is a wasteful number, since it uses less digits than its factorization.

6992107920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 6992107920 is about 83618.8251531914. The cubic root of 6992107920 is about 1912.2120073847.

The spelling of 6992107920 in words is "six billion, nine hundred ninety-two million, one hundred seven thousand, nine hundred twenty".