6672906240 has 1152 divisors, whose sum is σ = 30116136960. Its totient is φ = 1238630400.

The previous prime is 6672906197. The next prime is 6672906259. The reversal of 6672906240 is 426092766.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 6672906192 and 6672906201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215255025 + ... + 215255055.

It is an arithmetic number, because the mean of its divisors is an integer number (26142480).

Almost surely, 2^6672906240 is an apocalyptic number.

6672906240 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 6672906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15058068480).

6672906240 is an abundant number, since it is smaller than the sum of its proper divisors (23443230720).

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

6672906240 is a wasteful number, since it uses less digits than its factorization.

6672906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 6672906240 is about 81687.8585837577. The cubic root of 6672906240 is about 1882.6590410050.

The spelling of 6672906240 in words is "six billion, six hundred seventy-two million, nine hundred six thousand, two hundred forty".