537034417920 has 1296 divisors, whose sum is σ = 2539700104032. Its totient is φ = 102992117760.

The previous prime is 537034417889. The next prime is 537034417921. The reversal of 537034417920 is 29714430735.

537034417920 is a `hidden beast` number, since 53 + 70 + 3 + 441 + 7 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537034417921) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 80717314 + ... + 80723966.

It is an arithmetic number, because the mean of its divisors is an integer number (1959645142).

Almost surely, 2^537034417920 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 537034417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269850052016).

537034417920 is an abundant number, since it is smaller than the sum of its proper divisors (2002665686112).

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

537034417920 is a wasteful number, since it uses less digits than its factorization.

537034417920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6718 (or 6694 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 537034417920 in words is "five hundred thirty-seven billion, thirty-four million, four hundred seventeen thousand, nine hundred twenty".