4893067872 has 768 divisors, whose sum is σ = 19353600000. Its totient is φ = 1188794880.

The previous prime is 4893067859. The next prime is 4893067897. The reversal of 4893067872 is 2787603984.

4893067872 is a `hidden beast` number, since 489 + 30 + 67 + 8 + 72 = 666.

It is a super-2 number, since 2×4893067872² = 47884226399997216768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61937529 + ... + 61937607.

It is an arithmetic number, because the mean of its divisors is an integer number (25200000).

Almost surely, 2^4893067872 is an apocalyptic number.

4893067872 is a gapful number since it is divisible by the number (42) 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 4893067872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9676800000).

4893067872 is an abundant number, since it is smaller than the sum of its proper divisors (14460532128).

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

4893067872 is a wasteful number, since it uses less digits than its factorization.

4893067872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 4893067872 is about 69950.4672750654. The cubic root of 4893067872 is about 1697.6979072760.

The spelling of 4893067872 in words is "four billion, eight hundred ninety-three million, sixty-seven thousand, eight hundred seventy-two".