8400712563936 has 384 divisors, whose sum is σ = 31601433830400. Its totient is φ = 2106761287680.

The previous prime is 8400712563839. The next prime is 8400712563941. The reversal of 8400712563936 is 6393652170048.

8400712563936 is a `hidden beast` number, since 8 + 4 + 0 + 0 + 71 + 2 + 563 + 9 + 3 + 6 = 666.

It is a super-3 number, since 3×8400712563936³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 247815 + ... + 4106438.

It is an arithmetic number, because the mean of its divisors is an integer number (82295400600).

It is a 1-persistent number, because it is pandigital, but 2⋅8400712563936 = 16801425127872 is not.

Almost surely, 2^{8400712563936} 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 8400712563936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15800716915200).

8400712563936 is an abundant number, since it is smaller than the sum of its proper divisors (23200721266464).

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

8400712563936 is a wasteful number, since it uses less digits than its factorization.

8400712563936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4354319 (or 4354305 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 8400712563936 in words is "eight trillion, four hundred billion, seven hundred twelve million, five hundred sixty-three thousand, nine hundred thirty-six".