4723120864 has 192 divisors, whose sum is σ = 12031649280. Its totient is φ = 1771960320.

The previous prime is 4723120841. The next prime is 4723120879. The reversal of 4723120864 is 4680213274.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7704622 + ... + 7705234.

It is an arithmetic number, because the mean of its divisors is an integer number (62664840).

Almost surely, 2^4723120864 is an apocalyptic number.

4723120864 is a gapful number since it is divisible by the number (44) 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 4723120864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6015824640).

4723120864 is an abundant number, since it is smaller than the sum of its proper divisors (7308528416).

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

4723120864 is a wasteful number, since it uses less digits than its factorization.

4723120864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 4723120864 is about 68724.9653619411. The cubic root of 4723120864 is about 1677.8109319154.

The spelling of 4723120864 in words is "four billion, seven hundred twenty-three million, one hundred twenty thousand, eight hundred sixty-four".