32672045952 has 1152 divisors, whose sum is σ = 130660115040. Its totient is φ = 8026324992.

The previous prime is 32672045927. The next prime is 32672045983. The reversal of 32672045952 is 25954027623.

32672045952 is a `hidden beast` number, since 32 + 6 + 7 + 20 + 4 + 595 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 32672045898 and 32672045907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 336825168 + ... + 336825264.

Almost surely, 2^32672045952 is an apocalyptic number.

32672045952 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 32672045952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65330057520).

32672045952 is an abundant number, since it is smaller than the sum of its proper divisors (97988069088).

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

32672045952 is a wasteful number, since it uses less digits than its factorization.

32672045952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 32672045952 in words is "thirty-two billion, six hundred seventy-two million, forty-five thousand, nine hundred fifty-two".