537623623680 has 1536 divisors, whose sum is σ = 2239689553920. Its totient is φ = 107961384960.

The previous prime is 537623623661. The next prime is 537623623711. The reversal of 537623623680 is 86326326735.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1717647204 + ... + 1717647516.

It is an arithmetic number, because the mean of its divisors is an integer number (1458131220).

Almost surely, 2^537623623680 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 537623623680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119844776960).

537623623680 is an abundant number, since it is smaller than the sum of its proper divisors (1702065930240).

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

537623623680 is a wasteful number, since it uses less digits than its factorization.

537623623680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 51.

The spelling of 537623623680 in words is "five hundred thirty-seven billion, six hundred twenty-three million, six hundred twenty-three thousand, six hundred eighty".