32672640000 has 1760 divisors, whose sum is σ = 154703678976. Its totient is φ = 5898240000.

The previous prime is 32672639941. The next prime is 32672640023. The reversal of 32672640000 is 4627623.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 32672640000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1921919992 + ... + 1921920008.

Almost surely, 2^32672640000 is an apocalyptic number.

32672640000 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 32672640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77351839488).

32672640000 is an abundant number, since it is smaller than the sum of its proper divisors (122031038976).

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

32672640000 is a wasteful number, since it uses less digits than its factorization.

32672640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The spelling of 32672640000 in words is "thirty-two billion, six hundred seventy-two million, six hundred forty thousand".