4763953440 has 240 divisors, whose sum is σ = 16966785528. Its totient is φ = 1258758144.

The previous prime is 4763953409. The next prime is 4763953459. The reversal of 4763953440 is 443593674.

4763953440 is a `hidden beast` number, since 4 + 7 + 639 + 5 + 3 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3928280976 + 835672464 = 62676^2 + 28908^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1462854 + ... + 1466106.

Almost surely, 2^4763953440 is an apocalyptic number.

4763953440 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 4763953440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8483392764).

4763953440 is an abundant number, since it is smaller than the sum of its proper divisors (12202832088).

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

4763953440 is a wasteful number, since it uses less digits than its factorization.

4763953440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3393 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 4763953440 is about 69021.3984210694. The cubic root of 4763953440 is about 1682.6320985607.

The spelling of 4763953440 in words is "four billion, seven hundred sixty-three million, nine hundred fifty-three thousand, four hundred forty".