5903537640 has 1024 divisors, whose sum is σ = 26127360000. Its totient is φ = 1047674880.

The previous prime is 5903537621. The next prime is 5903537641. The reversal of 5903537640 is 467353095.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5903537592 and 5903537601.

It is not an unprimeable number, because it can be changed into a prime (5903537641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 100059931 + ... + 100059989.

It is an arithmetic number, because the mean of its divisors is an integer number (25515000).

Almost surely, 2^5903537640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5903537640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063680000).

5903537640 is an abundant number, since it is smaller than the sum of its proper divisors (20223822360).

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

5903537640 is a wasteful number, since it uses less digits than its factorization.

5903537640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 42.

The square root of 5903537640 is about 76834.4821027643. The cubic root of 5903537640 is about 1807.3299500075.

The spelling of 5903537640 in words is "five billion, nine hundred three million, five hundred thirty-seven thousand, six hundred forty".