4631890537560 has 256 divisors, whose sum is σ = 16353609592320. Its totient is φ = 1034689536000.

The previous prime is 4631890537531. The next prime is 4631890537567. The reversal of 4631890537560 is 657350981364.

It is a self number, because there is not a number n which added to its sum of digits gives 4631890537560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4631890537567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9562000 + ... + 10034720.

It is an arithmetic number, because the mean of its divisors is an integer number (63881287470).

Almost surely, 2^{4631890537560} is an apocalyptic number.

4631890537560 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 4631890537560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8176804796160).

4631890537560 is an abundant number, since it is smaller than the sum of its proper divisors (11721719054760).

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

4631890537560 is a wasteful number, since it uses less digits than its factorization.

4631890537560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473330 (or 473326 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 57.

The spelling of 4631890537560 in words is "four trillion, six hundred thirty-one billion, eight hundred ninety million, five hundred thirty-seven thousand, five hundred sixty".