8534211840 has 720 divisors, whose sum is σ = 38107681920. Its totient is φ = 1771683840.

The previous prime is 8534211839. The next prime is 8534211841. The reversal of 8534211840 is 481124358.

8534211840 is a `hidden beast` number, since 8 + 53 + 421 + 184 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8534211839) and next prime (8534211841).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8534211795 and 8534211804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8534211841) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7982826 + ... + 7983894.

It is an arithmetic number, because the mean of its divisors is an integer number (52927336).

Almost surely, 2^8534211840 is an apocalyptic number.

8534211840 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 8534211840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19053840960).

8534211840 is an abundant number, since it is smaller than the sum of its proper divisors (29573470080).

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

8534211840 is a wasteful number, since it uses less digits than its factorization.

8534211840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 8534211840 is about 92380.7980047802. The cubic root of 8534211840 is about 2043.5619431374.

The spelling of 8534211840 in words is "eight billion, five hundred thirty-four million, two hundred eleven thousand, eight hundred forty".