32404469760 has 1152 divisors, whose sum is σ = 134581487040. Its totient is φ = 7134511104.

The previous prime is 32404469749. The next prime is 32404469791. The reversal of 32404469760 is 6796440423.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 753592299 + ... + 753592341.

Almost surely, 2^32404469760 is an apocalyptic number.

32404469760 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 32404469760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67290743520).

32404469760 is an abundant number, since it is smaller than the sum of its proper divisors (102177017280).

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

32404469760 is a wasteful number, since it uses less digits than its factorization.

32404469760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 32404469760 in words is "thirty-two billion, four hundred four million, four hundred sixty-nine thousand, seven hundred sixty".