4963968000 has 528 divisors, whose sum is σ = 18597895680. Its totient is φ = 1271808000.

The previous prime is 4963967999. The next prime is 4963968011. The reversal of 4963968000 is 8693694.

4963968000 is a `hidden beast` number, since 4 + 9 + 639 + 6 + 8 + 0 + 0 + 0 = 666.

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

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35711931 + ... + 35712069.

Almost surely, 2^4963968000 is an apocalyptic number.

4963968000 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 4963968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9298947840).

4963968000 is an abundant number, since it is smaller than the sum of its proper divisors (13633927680).

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

4963968000 is a wasteful number, since it uses less digits than its factorization.

4963968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 4963968000 is about 70455.4327216858. The cubic root of 4963968000 is about 1705.8584497828.

The spelling of 4963968000 in words is "four billion, nine hundred sixty-three million, nine hundred sixty-eight thousand".