4537741824 has 800 divisors, whose sum is σ = 17824752000. Its totient is φ = 1137991680.

The previous prime is 4537741801. The next prime is 4537741849. The reversal of 4537741824 is 4281477354.

It is a super-2 number, since 2×4537741824² = 41182201722557693952, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4537741824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 156473842 + ... + 156473870.

It is an arithmetic number, because the mean of its divisors is an integer number (22280940).

Almost surely, 2^4537741824 is an apocalyptic number.

4537741824 is a gapful number since it is divisible by the number (44) 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 4537741824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8912376000).

4537741824 is an abundant number, since it is smaller than the sum of its proper divisors (13287010176).

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

4537741824 is an equidigital number, since it uses as much as digits as its factorization.

4537741824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 52 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 4537741824 is about 67362.7628887058. The cubic root of 4537741824 is about 1655.5663640899.

The spelling of 4537741824 in words is "four billion, five hundred thirty-seven million, seven hundred forty-one thousand, eight hundred twenty-four".