32430946977632 has 192 divisors, whose sum is σ = 75266197776000. Its totient is φ = 13748687124480.

The previous prime is 32430946977631. The next prime is 32430946977661. The reversal of 32430946977632 is 23677964903423.

It is a super-3 number, since 3×32430946977632³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32430946977631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 733361282 + ... + 733405502.

It is an arithmetic number, because the mean of its divisors is an integer number (392011446750).

Almost surely, 2^{32430946977632} is an apocalyptic number.

32430946977632 is a gapful number since it is divisible by the number (32) 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 32430946977632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37633098888000).

32430946977632 is an abundant number, since it is smaller than the sum of its proper divisors (42835250798368).

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

32430946977632 is a wasteful number, since it uses less digits than its factorization.

32430946977632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44974 (or 44952 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 65.

The spelling of 32430946977632 in words is "thirty-two trillion, four hundred thirty billion, nine hundred forty-six million, nine hundred seventy-seven thousand, six hundred thirty-two".