8216478000 has 400 divisors, whose sum is σ = 30161280864. Its totient is φ = 2155507200.

The previous prime is 8216477981. The next prime is 8216478019. The reversal of 8216478000 is 8746128.

8216478000 is a `hidden beast` number, since 8 + 2 + 1 + 647 + 8 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8216477981) and next prime (8216478019).

It is a tau number, because it is divible by the number of its divisors (400).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10853622 + ... + 10854378.

Almost surely, 2^8216478000 is an apocalyptic number.

8216478000 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 8216478000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15080640432).

8216478000 is an abundant number, since it is smaller than the sum of its proper divisors (21944802864).

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

8216478000 is a wasteful number, since it uses less digits than its factorization.

8216478000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 8216478000 is about 90644.7902529428. The cubic root of 8216478000 is about 2017.8795184374.

The spelling of 8216478000 in words is "eight billion, two hundred sixteen million, four hundred seventy-eight thousand".