8213403933504 has 1344 divisors, whose sum is σ = 31814027182080. Its totient is φ = 1962385920000.

The previous prime is 8213403933479. The next prime is 8213403933563. The reversal of 8213403933504 is 4053393043128.

8213403933504 is a `hidden beast` number, since 8 + 2 + 13 + 40 + 3 + 93 + 3 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a self number, because there is not a number n which added to its sum of digits gives 8213403933504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5660511979 + ... + 5660513429.

Almost surely, 2^{8213403933504} is an apocalyptic number.

8213403933504 is a gapful number since it is divisible by the number (84) 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 8213403933504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15907013591040).

8213403933504 is an abundant number, since it is smaller than the sum of its proper divisors (23600623248576).

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

8213403933504 is a wasteful number, since it uses less digits than its factorization.

8213403933504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 8213403933504 in words is "eight trillion, two hundred thirteen billion, four hundred three million, nine hundred thirty-three thousand, five hundred four".