4537971840 has 256 divisors, whose sum is σ = 15693834240. Its totient is φ = 1110835200.

The previous prime is 4537971839. The next prime is 4537971877. The reversal of 4537971840 is 481797354.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4537971840.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1336545 + ... + 1339935.

It is an arithmetic number, because the mean of its divisors is an integer number (61304040).

Almost surely, 2^4537971840 is an apocalyptic number.

4537971840 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 4537971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7846917120).

4537971840 is an abundant number, since it is smaller than the sum of its proper divisors (11155862400).

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

4537971840 is a wasteful number, since it uses less digits than its factorization.

4537971840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3471 (or 3459 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 4537971840 is about 67364.4701604637. The cubic root of 4537971840 is about 1655.5943369108.

The spelling of 4537971840 in words is "four billion, five hundred thirty-seven million, nine hundred seventy-one thousand, eight hundred forty".