8264084400 has 480 divisors, whose sum is σ = 34562787840. Its totient is φ = 1848960000.

The previous prime is 8264084363. The next prime is 8264084429. The reversal of 8264084400 is 44804628.

8264084400 is a `hidden beast` number, since 8 + 2 + 640 + 8 + 4 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1541725 + ... + 1547075.

It is an arithmetic number, because the mean of its divisors is an integer number (72005808).

Almost surely, 2^8264084400 is an apocalyptic number.

8264084400 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 8264084400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17281393920).

8264084400 is an abundant number, since it is smaller than the sum of its proper divisors (26298703440).

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

8264084400 is a wasteful number, since it uses less digits than its factorization.

8264084400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5402 (or 5385 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 8264084400 is about 90907.0096307210. The cubic root of 8264084400 is about 2021.7692240736.

The spelling of 8264084400 in words is "eight billion, two hundred sixty-four million, eighty-four thousand, four hundred".