32136791040 has 704 divisors, whose sum is σ = 120375390720. Its totient is φ = 8121876480.

The previous prime is 32136791033. The next prime is 32136791047. The reversal of 32136791040 is 4019763123.

It is an interprime number because it is at equal distance from previous prime (32136791033) and next prime (32136791047).

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

It is a junction number, because it is equal to n+sod(n) for n = 32136790986 and 32136791004.

It is not an unprimeable number, because it can be changed into a prime (32136791047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 312007629 + ... + 312007731.

Almost surely, 2^32136791040 is an apocalyptic number.

32136791040 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 32136791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60187695360).

32136791040 is an abundant number, since it is smaller than the sum of its proper divisors (88238599680).

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

32136791040 is a wasteful number, since it uses less digits than its factorization.

32136791040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 32136791040 in words is "thirty-two billion, one hundred thirty-six million, seven hundred ninety-one thousand, forty".