4763270400 has 648 divisors, whose sum is σ = 18809983584. Its totient is φ = 1057996800.

The previous prime is 4763270381. The next prime is 4763270419. The reversal of 4763270400 is 40723674.

It is an interprime number because it is at equal distance from previous prime (4763270381) and next prime (4763270419).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57388759 + ... + 57388841.

Almost surely, 2^4763270400 is an apocalyptic number.

4763270400 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 4763270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9404991792).

4763270400 is an abundant number, since it is smaller than the sum of its proper divisors (14046713184).

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

4763270400 is a wasteful number, since it uses less digits than its factorization.

4763270400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 4763270400 is about 69016.4502129746. The cubic root of 4763270400 is about 1682.5516779622.

The spelling of 4763270400 in words is "four billion, seven hundred sixty-three million, two hundred seventy thousand, four hundred".