8021362531968 has 256 divisors, whose sum is σ = 24196521600000. Its totient is φ = 2615247461376.

The previous prime is 8021362531927. The next prime is 8021362531993. The reversal of 8021362531968 is 8691352631208.

8021362531968 is a `hidden beast` number, since 8 + 0 + 2 + 1 + 3 + 625 + 3 + 1 + 9 + 6 + 8 = 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40478055 + ... + 40675737.

It is an arithmetic number, because the mean of its divisors is an integer number (94517662500).

Almost surely, 2^{8021362531968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8021362531968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12098260800000).

8021362531968 is an abundant number, since it is smaller than the sum of its proper divisors (16175159068032).

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

8021362531968 is a wasteful number, since it uses less digits than its factorization.

8021362531968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197964 (or 197946 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 8021362531968 in words is "eight trillion, twenty-one billion, three hundred sixty-two million, five hundred thirty-one thousand, nine hundred sixty-eight".