812648537416800 has 1440 divisors, whose sum is σ = 3510779358240000. Its totient is φ = 178982274723840.

The previous prime is 812648537416753. The next prime is 812648537416831. The reversal of 812648537416800 is 8614735846218.

812648537416800 is a `hidden beast` number, since 8 + 1 + 2 + 6 + 4 + 8 + 537 + 4 + 16 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6563983699 + ... + 6564107501.

It is an arithmetic number, because the mean of its divisors is an integer number (2438041221000).

Almost surely, 2^{812648537416800} is an apocalyptic number.

812648537416800 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 812648537416800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755389679120000).

812648537416800 is an abundant number, since it is smaller than the sum of its proper divisors (2698130820823200).

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

812648537416800 is a wasteful number, since it uses less digits than its factorization.

812648537416800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124370 (or 124348 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 812648537416800 in words is "eight hundred twelve trillion, six hundred forty-eight billion, five hundred thirty-seven million, four hundred sixteen thousand, eight hundred".