6975460800 has 1008 divisors, whose sum is σ = 32192439552. Its totient is φ = 1443225600.

The previous prime is 6975460787. The next prime is 6975460801. The reversal of 6975460800 is 80645796.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6975460801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29937484 + ... + 29937716.

It is an arithmetic number, because the mean of its divisors is an integer number (31936944).

Almost surely, 2^6975460800 is an apocalyptic number.

6975460800 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 6975460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16096219776).

6975460800 is an abundant number, since it is smaller than the sum of its proper divisors (25216978752).

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

6975460800 is a wasteful number, since it uses less digits than its factorization.

6975460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 6975460800 is about 83519.2241343273. The cubic root of 6975460800 is about 1910.6932417715.

The spelling of 6975460800 in words is "six billion, nine hundred seventy-five million, four hundred sixty thousand, eight hundred".