8214402672 has 320 divisors, whose sum is σ = 27624898560. Its totient is φ = 2288756736.

The previous prime is 8214402659. The next prime is 8214402701. The reversal of 8214402672 is 2762044128.

It is a super-2 number, since 2×8214402672² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28035358 + ... + 28035650.

It is an arithmetic number, because the mean of its divisors is an integer number (86327808).

Almost surely, 2^8214402672 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 8214402672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13812449280).

8214402672 is an abundant number, since it is smaller than the sum of its proper divisors (19410495888).

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

8214402672 is a wasteful number, since it uses less digits than its factorization.

8214402672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 8214402672 is about 90633.3419443419. The cubic root of 8214402672 is about 2017.7096113110.

The spelling of 8214402672 in words is "eight billion, two hundred fourteen million, four hundred two thousand, six hundred seventy-two".