6976220160 has 1056 divisors, whose sum is σ = 30108782592. Its totient is φ = 1362493440.

The previous prime is 6976220051. The next prime is 6976220189. The reversal of 6976220160 is 610226796.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 225039345 + ... + 225039375.

Almost surely, 2^6976220160 is an apocalyptic number.

6976220160 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 6976220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15054391296).

6976220160 is an abundant number, since it is smaller than the sum of its proper divisors (23132562432).

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

6976220160 is a wasteful number, since it uses less digits than its factorization.

6976220160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 6976220160 is about 83523.7700298544. The cubic root of 6976220160 is about 1910.7625729796.

The spelling of 6976220160 in words is "six billion, nine hundred seventy-six million, two hundred twenty thousand, one hundred sixty".