32364119040 has 704 divisors, whose sum is σ = 120435130368. Its totient is φ = 7343308800.

The previous prime is 32364119023. The next prime is 32364119057. The reversal of 32364119040 is 4091146323.

It is an interprime number because it is at equal distance from previous prime (32364119023) and next prime (32364119057).

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 32364118992 and 32364119010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193797037 + ... + 193797203.

Almost surely, 2^32364119040 is an apocalyptic number.

32364119040 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 32364119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60217565184).

32364119040 is an abundant number, since it is smaller than the sum of its proper divisors (88071011328).

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

32364119040 is a wasteful number, since it uses less digits than its factorization.

32364119040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 32364119040 in words is "thirty-two billion, three hundred sixty-four million, one hundred nineteen thousand, forty".