36506321280 has 1536 divisors, whose sum is σ = 161676103680. Its totient is φ = 7461273600.

The previous prime is 36506321249. The next prime is 36506321281. The reversal of 36506321280 is 8212360563.

It is a happy number.

36506321280 is a `hidden beast` number, since 3 + 6 + 5 + 0 + 632 + 12 + 8 + 0 = 666.

It is a super-2 number, since 2×36506321280² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36506321281) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 776730217 + ... + 776730263.

It is an arithmetic number, because the mean of its divisors is an integer number (105257880).

Almost surely, 2^36506321280 is an apocalyptic number.

36506321280 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36506321280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80838051840).

36506321280 is an abundant number, since it is smaller than the sum of its proper divisors (125169782400).

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

36506321280 is a wasteful number, since it uses less digits than its factorization.

36506321280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 36506321280 in words is "thirty-six billion, five hundred six million, three hundred twenty-one thousand, two hundred eighty".