6974980400 has 60 divisors (see below), whose sum is σ = 16776661344. Its totient is φ = 2786784000.

The previous prime is 6974980387. The next prime is 6974980403. The reversal of 6974980400 is 40894796.

It is not an unprimeable number, because it can be changed into a prime (6974980403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 354830 + ... + 373970.

Almost surely, 2^6974980400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6974980400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8388330672).

6974980400 is an abundant number, since it is smaller than the sum of its proper divisors (9801680944).

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

6974980400 is a wasteful number, since it uses less digits than its factorization.

6974980400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20070 (or 20059 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 6974980400 is about 83516.3481002372. The cubic root of 6974980400 is about 1910.6493776153.

The spelling of 6974980400 in words is "six billion, nine hundred seventy-four million, nine hundred eighty thousand, four hundred".