6973948800 has 768 divisors, whose sum is σ = 31447987200. Its totient is φ = 1469767680.

The previous prime is 6973948747. The next prime is 6973948819. The reversal of 6973948800 is 88493796.

It is a super-5 number, since 5×6973948800⁵ (a number of 50 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 7861957 + ... + 7862843.

It is an arithmetic number, because the mean of its divisors is an integer number (40947900).

Almost surely, 2^6973948800 is an apocalyptic number.

6973948800 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 6973948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15723993600).

6973948800 is an abundant number, since it is smaller than the sum of its proper divisors (24474038400).

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

6973948800 is a wasteful number, since it uses less digits than its factorization.

6973948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 6973948800 is about 83510.1718355315. The cubic root of 6973948800 is about 1910.5551779204. Note that the first 3 decimals are identical.

The spelling of 6973948800 in words is "six billion, nine hundred seventy-three million, nine hundred forty-eight thousand, eight hundred".