8427979497600 has 2688 divisors, whose sum is σ = 36021608219520. Its totient is φ = 1931334451200.

The previous prime is 8427979497599. The next prime is 8427979497649. The reversal of 8427979497600 is 67949797248.

8427979497600 is a `hidden beast` number, since 8 + 4 + 2 + 7 + 9 + 7 + 9 + 4 + 9 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 29992809460 + ... + 29992809740.

It is an arithmetic number, because the mean of its divisors is an integer number (13400895915).

Almost surely, 2^{8427979497600} is an apocalyptic number.

8427979497600 is a gapful number since it is divisible by the number (80) 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 8427979497600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18010804109760).

8427979497600 is an abundant number, since it is smaller than the sum of its proper divisors (27593628721920).

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

8427979497600 is a wasteful number, since it uses less digits than its factorization.

8427979497600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 384072192, while the sum is 72.

The spelling of 8427979497600 in words is "eight trillion, four hundred twenty-seven billion, nine hundred seventy-nine million, four hundred ninety-seven thousand, six hundred".