536957735076 has 243 divisors, whose sum is σ = 1607562732321. Its totient is φ = 150681783168.

The previous prime is 536957735053. The next prime is 536957735089. The reversal of 536957735076 is 670537759635.

The square root of 536957735076 is 732774.

It is a perfect power (a square), and thus also a powerful number.

536957735076 is a `hidden beast` number, since 5 + 3 + 6 + 9 + 57 + 73 + 507 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 304803368100 + 232154366976 = 552090^2 + 481824^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

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 80 ways as a sum of consecutive naturals, for example, 2246684965 + ... + 2246685203.

Almost surely, 2^536957735076 is an apocalyptic number.

536957735076 is the 732774-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536957735076

536957735076 is an abundant number, since it is smaller than the sum of its proper divisors (1070604997245).

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

536957735076 is a wasteful number, since it uses less digits than its factorization.

536957735076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 125023500, while the sum is 63.

The spelling of 536957735076 in words is "five hundred thirty-six billion, nine hundred fifty-seven million, seven hundred thirty-five thousand, seventy-six".