8249679900 has 432 divisors, whose sum is σ = 33440359680. Its totient is φ = 1713830400.

The previous prime is 8249679883. The next prime is 8249679931. The reversal of 8249679900 is 99769428.

8249679900 is a `hidden beast` number, since 82 + 496 + 79 + 9 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1868896 + ... + 1873304.

It is an arithmetic number, because the mean of its divisors is an integer number (77408240).

Almost surely, 2^8249679900 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 8249679900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16720179840).

8249679900 is an abundant number, since it is smaller than the sum of its proper divisors (25190679780).

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

8249679900 is a wasteful number, since it uses less digits than its factorization.

8249679900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4456 (or 4437 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 8249679900 is about 90827.7485133260. The cubic root of 8249679900 is about 2020.5938766210.

The spelling of 8249679900 in words is "eight billion, two hundred forty-nine million, six hundred seventy-nine thousand, nine hundred".