8273925770400 has 1152 divisors, whose sum is σ = 30846425702400. Its totient is φ = 2139830784000.

The previous prime is 8273925770371. The next prime is 8273925770483. The reversal of 8273925770400 is 40775293728.

8273925770400 is a `hidden beast` number, since 8 + 27 + 3 + 9 + 2 + 577 + 0 + 40 + 0 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 41999623102 + ... + 41999623298.

It is an arithmetic number, because the mean of its divisors is an integer number (26776411200).

Almost surely, 2^{8273925770400} is an apocalyptic number.

8273925770400 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 8273925770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15423212851200).

8273925770400 is an abundant number, since it is smaller than the sum of its proper divisors (22572499932000).

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

8273925770400 is a wasteful number, since it uses less digits than its factorization.

8273925770400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 8273925770400 in words is "eight trillion, two hundred seventy-three billion, nine hundred twenty-five million, seven hundred seventy thousand, four hundred".