4624296768 has 168 divisors, whose sum is σ = 16313676288. Its totient is φ = 1219580928.

The previous prime is 4624296757. The next prime is 4624296829. The reversal of 4624296768 is 8676924264.

4624296768 is a `hidden beast` number, since 4 + 624 + 2 + 9 + 6 + 7 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8305 + ... + 96527.

It is an arithmetic number, because the mean of its divisors is an integer number (97105216).

Almost surely, 2^4624296768 is an apocalyptic number.

4624296768 is a gapful number since it is divisible by the number (48) 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 4624296768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8156838144).

4624296768 is an abundant number, since it is smaller than the sum of its proper divisors (11689379520).

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

4624296768 is a wasteful number, since it uses less digits than its factorization.

4624296768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88261 (or 88248 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 4624296768 is about 68002.1820826361. The cubic root of 4624296768 is about 1666.0264773972.

The spelling of 4624296768 in words is "four billion, six hundred twenty-four million, two hundred ninety-six thousand, seven hundred sixty-eight".