4701006816 has 96 divisors (see below), whose sum is σ = 13573598976. Its totient is φ = 1424508800.

The previous prime is 4701006797. The next prime is 4701006841. The reversal of 4701006816 is 6186001074.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109381 + ... + 146171.

It is an arithmetic number, because the mean of its divisors is an integer number (141391656).

Almost surely, 2^4701006816 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 4701006816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6786799488).

4701006816 is an abundant number, since it is smaller than the sum of its proper divisors (8872592160).

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

4701006816 is a wasteful number, since it uses less digits than its factorization.

4701006816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36837 (or 36807 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 4701006816 is about 68563.8885711713. Note that the first 3 decimals coincide. The cubic root of 4701006816 is about 1675.1882839953.

The spelling of 4701006816 in words is "four billion, seven hundred one million, six thousand, eight hundred sixteen".