536946896640 has 1152 divisors, whose sum is σ = 2194192465920. Its totient is φ = 108689817600.

The previous prime is 536946896617. The next prime is 536946896659. The reversal of 536946896640 is 46698649635.

It is a super-2 number, since 2×536946896640² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2966557350 + ... + 2966557530.

It is an arithmetic number, because the mean of its divisors is an integer number (1904680960).

Almost surely, 2^536946896640 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 536946896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097096232960).

536946896640 is an abundant number, since it is smaller than the sum of its proper divisors (1657245569280).

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

536946896640 is a wasteful number, since it uses less digits than its factorization.

536946896640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 66.

The spelling of 536946896640 in words is "five hundred thirty-six billion, nine hundred forty-six million, eight hundred ninety-six thousand, six hundred forty".