6973962240 has 576 divisors, whose sum is σ = 26822184480. Its totient is φ = 1541406720.

The previous prime is 6973962239. The next prime is 6973962301. The reversal of 6973962240 is 422693796.

It is a super-2 number, since 2×6973962240² = 97272298649891635200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6973962240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61716424 + ... + 61716536.

Almost surely, 2^6973962240 is an apocalyptic number.

6973962240 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 6973962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13411092240).

6973962240 is an abundant number, since it is smaller than the sum of its proper divisors (19848222240).

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

6973962240 is a wasteful number, since it uses less digits than its factorization.

6973962240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The square root of 6973962240 is about 83510.2523047320. The cubic root of 6973962240 is about 1910.5564052425.

The spelling of 6973962240 in words is "six billion, nine hundred seventy-three million, nine hundred sixty-two thousand, two hundred forty".