537608479968 has 576 divisors, whose sum is σ = 1857796093440. Its totient is φ = 152668696320.

The previous prime is 537608479957. The next prime is 537608479973. The reversal of 537608479968 is 869974806735.

537608479968 is a `hidden beast` number, since 5 + 3 + 7 + 60 + 8 + 479 + 96 + 8 = 666.

It is a super-5 number, since 5×537608479968⁵ (a number of 60 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 537608479896 and 537608479905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 723564205 + ... + 723564947.

It is an arithmetic number, because the mean of its divisors is an integer number (3225340440).

Almost surely, 2^537608479968 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 537608479968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928898046720).

537608479968 is an abundant number, since it is smaller than the sum of its proper divisors (1320187613472).

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

537608479968 is an equidigital number, since it uses as much as digits as its factorization.

537608479968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 537608479968 in words is "five hundred thirty-seven billion, six hundred eight million, four hundred seventy-nine thousand, nine hundred sixty-eight".