8215362792000 has 2240 divisors, whose sum is σ = 37734971129856. Its totient is φ = 1718135193600.

The previous prime is 8215362791959. The next prime is 8215362792047. The reversal of 8215362792000 is 2972635128.

8215362792000 is a `hidden beast` number, since 8 + 2 + 1 + 536 + 27 + 92 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 7488935452 + ... + 7488936548.

Almost surely, 2^{8215362792000} is an apocalyptic number.

8215362792000 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 8215362792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18867485564928).

8215362792000 is an abundant number, since it is smaller than the sum of its proper divisors (29519608337856).

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

8215362792000 is a wasteful number, since it uses less digits than its factorization.

8215362792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 8215362792000 in words is "eight trillion, two hundred fifteen billion, three hundred sixty-two million, seven hundred ninety-two thousand".