4764015360 has 324 divisors, whose sum is σ = 17855746272. Its totient is φ = 1172201472.

The previous prime is 4764015359. The next prime is 4764015409. The reversal of 4764015360 is 635104674.

It is a happy number.

4764015360 is a `hidden beast` number, since 4 + 7 + 640 + 1 + 5 + 3 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1945657 + ... + 1948103.

It is an arithmetic number, because the mean of its divisors is an integer number (55110328).

Almost surely, 2^4764015360 is an apocalyptic number.

4764015360 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 4764015360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8927873136).

4764015360 is an abundant number, since it is smaller than the sum of its proper divisors (13091730912).

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

4764015360 is a wasteful number, since it uses less digits than its factorization.

4764015360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4764015360 is about 69021.8469761568. The cubic root of 4764015360 is about 1682.6393885933.

The spelling of 4764015360 in words is "four billion, seven hundred sixty-four million, fifteen thousand, three hundred sixty".