36192479760 has 120 divisors (see below), whose sum is σ = 121633911360. Its totient is φ = 9644380416.

The previous prime is 36192479717. The next prime is 36192479761. The reversal of 36192479760 is 6797429163.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 36192479697 and 36192479706.

It is not an unprimeable number, because it can be changed into a prime (36192479761) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1024471 + ... + 1059209.

It is an arithmetic number, because the mean of its divisors is an integer number (1013615928).

Almost surely, 2^36192479760 is an apocalyptic number.

36192479760 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 36192479760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60816955680).

36192479760 is an abundant number, since it is smaller than the sum of its proper divisors (85441431600).

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

36192479760 is a wasteful number, since it uses less digits than its factorization.

36192479760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36205 (or 36196 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 36192479760 in words is "thirty-six billion, one hundred ninety-two million, four hundred seventy-nine thousand, seven hundred sixty".