536066780304 has 320 divisors, whose sum is σ = 1588298342400. Its totient is φ = 154325606400.

The previous prime is 536066780303. The next prime is 536066780351. The reversal of 536066780304 is 403087660635.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (536066780303) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 201603327 + ... + 201605985.

It is an arithmetic number, because the mean of its divisors is an integer number (4963432320).

Almost surely, 2^536066780304 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 536066780304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794149171200).

536066780304 is an abundant number, since it is smaller than the sum of its proper divisors (1052231562096).

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

536066780304 is a wasteful number, since it uses less digits than its factorization.

536066780304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2934 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 536066780304 in words is "five hundred thirty-six billion, sixty-six million, seven hundred eighty thousand, three hundred four".