36128397848832 has 360 divisors, whose sum is σ = 111238816550400. Its totient is φ = 11650616156160.

The previous prime is 36128397848797. The next prime is 36128397848869. The reversal of 36128397848832 is 23884879382163.

36128397848832 is a `hidden beast` number, since 3 + 6 + 1 + 28 + 3 + 97 + 8 + 488 + 32 = 666.

It is a super-2 number, since 2×36128397848832² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 39 ways as a sum of consecutive naturals, for example, 2618182669 + ... + 2618196467.

It is an arithmetic number, because the mean of its divisors is an integer number (308996712640).

Almost surely, 2^{36128397848832} is an apocalyptic number.

36128397848832 is a gapful number since it is divisible by the number (32) 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 36128397848832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55619408275200).

36128397848832 is an abundant number, since it is smaller than the sum of its proper divisors (75110418701568).

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

36128397848832 is a wasteful number, since it uses less digits than its factorization.

36128397848832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17931 (or 17908 counting only the distinct ones).

The product of its digits is 668860416, while the sum is 72.

The spelling of 36128397848832 in words is "thirty-six trillion, one hundred twenty-eight billion, three hundred ninety-seven million, eight hundred forty-eight thousand, eight hundred thirty-two".