6973745856 has 336 divisors, whose sum is σ = 23739287040. Its totient is φ = 1786337280.

The previous prime is 6973745827. The next prime is 6973745861. The reversal of 6973745856 is 6585473796.

It is a tau number, because it is divible by the number of its divisors (336).

Its product of digits (38102400) is a multiple of the sum of its prime factors (972).

It is a self number, because there is not a number n which added to its sum of digits gives 6973745856.

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, 8175126 + ... + 8175978.

It is an arithmetic number, because the mean of its divisors is an integer number (70652640).

Almost surely, 2^6973745856 is an apocalyptic number.

6973745856 is a gapful number since it is divisible by the number (66) 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 6973745856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11869643520).

6973745856 is an abundant number, since it is smaller than the sum of its proper divisors (16765541184).

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

6973745856 is a wasteful number, since it uses less digits than its factorization.

6973745856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 955 counting only the distinct ones).

The product of its digits is 38102400, while the sum is 60.

The square root of 6973745856 is about 83508.9567411784. The cubic root of 6973745856 is about 1910.5366451645.

The spelling of 6973745856 in words is "six billion, nine hundred seventy-three million, seven hundred forty-five thousand, eight hundred fifty-six".