6973240320 has 352 divisors, whose sum is σ = 25157466240. Its totient is φ = 1831403520.

The previous prime is 6973240301. The next prime is 6973240361. The reversal of 6973240320 is 230423796.

It is a happy number.

6973240320 is a `hidden beast` number, since 6 + 9 + 7 + 324 + 0 + 320 = 666.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10091175 + ... + 10091865.

Almost surely, 2^6973240320 is an apocalyptic number.

6973240320 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 6973240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12578733120).

6973240320 is an abundant number, since it is smaller than the sum of its proper divisors (18184225920).

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

6973240320 is a wasteful number, since it uses less digits than its factorization.

6973240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 6973240320 is about 83505.9298493227. The cubic root of 6973240320 is about 1910.4904782784.

The spelling of 6973240320 in words is "six billion, nine hundred seventy-three million, two hundred forty thousand, three hundred twenty".