6973763040 has 480 divisors, whose sum is σ = 26227998720. Its totient is φ = 1740082176.

The previous prime is 6973763029. The next prime is 6973763051. The reversal of 6973763040 is 403673796.

6973763040 is a `hidden beast` number, since 6 + 9 + 7 + 3 + 7 + 630 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6973763029) and next prime (6973763051).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31272369 + ... + 31272591.

It is an arithmetic number, because the mean of its divisors is an integer number (54641664).

Almost surely, 2^6973763040 is an apocalyptic number.

6973763040 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 6973763040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13113999360).

6973763040 is an abundant number, since it is smaller than the sum of its proper divisors (19254235680).

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

6973763040 is a wasteful number, since it uses less digits than its factorization.

6973763040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The square root of 6973763040 is about 83509.0596282822. The cubic root of 6973763040 is about 1910.5382144137.

The spelling of 6973763040 in words is "six billion, nine hundred seventy-three million, seven hundred sixty-three thousand, forty".