2647016064 has 640 divisors, whose sum is σ = 10285272000. Its totient is φ = 663828480.

The previous prime is 2647016041. The next prime is 2647016069. The reversal of 2647016064 is 4606107462.

2647016064 is a `hidden beast` number, since 2 + 6 + 47 + 0 + 1 + 606 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2647016069) 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, 91276402 + ... + 91276430.

Almost surely, 2^2647016064 is an apocalyptic number.

2647016064 is a gapful number since it is divisible by the number (24) 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 2647016064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5142636000).

2647016064 is an abundant number, since it is smaller than the sum of its proper divisors (7638255936).

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

2647016064 is an equidigital number, since it uses as much as digits as its factorization.

2647016064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2647016064 is about 51449.1599931427. The cubic root of 2647016064 is about 1383.3079057148.

The spelling of 2647016064 in words is "two billion, six hundred forty-seven million, sixteen thousand, sixty-four".