8034521787864 has 256 divisors, whose sum is σ = 26223455462400. Its totient is φ = 2247112627200.

The previous prime is 8034521787823. The next prime is 8034521787961. The reversal of 8034521787864 is 4687871254308.

It is a happy number.

8034521787864 is a `hidden beast` number, since 8 + 0 + 3 + 452 + 178 + 7 + 8 + 6 + 4 = 666.

It is a super-2 number, since 2×8034521787864² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 320944692 + ... + 320969724.

It is an arithmetic number, because the mean of its divisors is an integer number (102435372900).

Almost surely, 2^{8034521787864} 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 8034521787864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13111727731200).

8034521787864 is an abundant number, since it is smaller than the sum of its proper divisors (18188933674536).

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

8034521787864 is a wasteful number, since it uses less digits than its factorization.

8034521787864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35463 (or 35453 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 8034521787864 in words is "eight trillion, thirty-four billion, five hundred twenty-one million, seven hundred eighty-seven thousand, eight hundred sixty-four".