8099537846400 has 7680 divisors, whose sum is σ = 44428356403200. Its totient is φ = 1397440512000.

The previous prime is 8099537846383. The next prime is 8099537846417. The reversal of 8099537846400 is 46487359908.

8099537846400 is a `hidden beast` number, since 8 + 0 + 99 + 537 + 8 + 4 + 6 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8099537846383) and next prime (8099537846417).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 152821468774 + ... + 152821468826.

It is an arithmetic number, because the mean of its divisors is an integer number (5784942240).

Almost surely, 2^{8099537846400} is an apocalyptic number.

8099537846400 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 8099537846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22214178201600).

8099537846400 is an abundant number, since it is smaller than the sum of its proper divisors (36328818556800).

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

8099537846400 is a wasteful number, since it uses less digits than its factorization.

8099537846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 8099537846400 in words is "eight trillion, ninety-nine billion, five hundred thirty-seven million, eight hundred forty-six thousand, four hundred".