4627768320 has 264 divisors, whose sum is σ = 18327102144. Its totient is φ = 1057701888.

The previous prime is 4627768289. The next prime is 4627768363. The reversal of 4627768320 is 238677264.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315387 + ... + 329733.

Almost surely, 2^4627768320 is an apocalyptic number.

4627768320 is a gapful number since it is divisible by the number (40) 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 4627768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9163551072).

4627768320 is an abundant number, since it is smaller than the sum of its proper divisors (13699333824).

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

4627768320 is a wasteful number, since it uses less digits than its factorization.

4627768320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14385 (or 14364 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 4627768320 is about 68027.7025923998. The cubic root of 4627768320 is about 1666.4432795714.

The spelling of 4627768320 in words is "four billion, six hundred twenty-seven million, seven hundred sixty-eight thousand, three hundred twenty".