32819351040 has 640 divisors, whose sum is σ = 137884032000. Its totient is φ = 7239794688.

The previous prime is 32819351039. The next prime is 32819351077. The reversal of 32819351040 is 4015391823.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 32819350986 and 32819351004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14030191 + ... + 14032529.

It is an arithmetic number, because the mean of its divisors is an integer number (215443800).

Almost surely, 2^32819351040 is an apocalyptic number.

32819351040 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 32819351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68942016000).

32819351040 is an abundant number, since it is smaller than the sum of its proper divisors (105064680960).

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

32819351040 is a wasteful number, since it uses less digits than its factorization.

32819351040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 32819351040 in words is "thirty-two billion, eight hundred nineteen million, three hundred fifty-one thousand, forty".