4538772000 has 864 divisors, whose sum is σ = 19575489024. Its totient is φ = 991872000.

The previous prime is 4538771989. The next prime is 4538772011. The reversal of 4538772000 is 2778354.

It is an interprime number because it is at equal distance from previous prime (4538771989) and next prime (4538772011).

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 143 ways as a sum of consecutive naturals, for example, 54683959 + ... + 54684041.

It is an arithmetic number, because the mean of its divisors is an integer number (22656816).

Almost surely, 2^4538772000 is an apocalyptic number.

4538772000 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 4538772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9787744512).

4538772000 is an abundant number, since it is smaller than the sum of its proper divisors (15036717024).

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

4538772000 is a wasteful number, since it uses less digits than its factorization.

4538772000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 4538772000 is about 67370.4089344870. The cubic root of 4538772000 is about 1655.6916390065.

The spelling of 4538772000 in words is "four billion, five hundred thirty-eight million, seven hundred seventy-two thousand".