32447379494400 has 480 divisors, whose sum is σ = 118117681651200. Its totient is φ = 7801296814080.

The previous prime is 32447379494399. The next prime is 32447379494437. The reversal of 32447379494400 is 449497374423.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20709801 + ... + 22221399.

It is an arithmetic number, because the mean of its divisors is an integer number (246078503440).

Almost surely, 2^{32447379494400} is an apocalyptic number.

32447379494400 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 32447379494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59058840825600).

32447379494400 is an abundant number, since it is smaller than the sum of its proper divisors (85670302156800).

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

32447379494400 is a wasteful number, since it uses less digits than its factorization.

32447379494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511686 (or 1511665 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 60.

The spelling of 32447379494400 in words is "thirty-two trillion, four hundred forty-seven billion, three hundred seventy-nine million, four hundred ninety-four thousand, four hundred".