36015432960 has 864 divisors, whose sum is σ = 139147932672. Its totient is φ = 7856455680.

The previous prime is 36015432941. The next prime is 36015432961. The reversal of 36015432960 is 6923451063.

It is a super-2 number, since 2×36015432960² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36015432961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 973390062 + ... + 973390098.

It is an arithmetic number, because the mean of its divisors is an integer number (161050848).

Almost surely, 2^36015432960 is an apocalyptic number.

36015432960 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 36015432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69573966336).

36015432960 is an abundant number, since it is smaller than the sum of its proper divisors (103132499712).

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

36015432960 is a wasteful number, since it uses less digits than its factorization.

36015432960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 39.

The spelling of 36015432960 in words is "thirty-six billion, fifteen million, four hundred thirty-two thousand, nine hundred sixty".