537646916980992 has 1152 divisors, whose sum is σ = 1886870493462528. Its totient is φ = 131876978688000.

The previous prime is 537646916980969. The next prime is 537646916981029. The reversal of 537646916980992 is 299089619646735.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65638735617 + ... + 65638743807.

It is an arithmetic number, because the mean of its divisors is an integer number (1637908414464).

It is a 2-persistent number, because it is pandigital, and so is 2⋅537646916980992 = 1075293833961984, but 3⋅537646916980992 = 1612940750942976 is not.

Almost surely, 2^{537646916980992} is an apocalyptic number.

537646916980992 is a gapful number since it is divisible by the number (52) 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 537646916980992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943435246731264).

537646916980992 is an abundant number, since it is smaller than the sum of its proper divisors (1349223576481536).

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

537646916980992 is a wasteful number, since it uses less digits than its factorization.

537646916980992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8895 (or 8881 counting only the distinct ones).

The product of its (nonzero) digits is 9523422720, while the sum is 84.

The spelling of 537646916980992 in words is "five hundred thirty-seven trillion, six hundred forty-six billion, nine hundred sixteen million, nine hundred eighty thousand, nine hundred ninety-two".