732008640000 has 800 divisors, whose sum is σ = 2688197301504. Its totient is φ = 175472640000.

The previous prime is 732008639981. The next prime is 732008640019. The reversal of 732008640000 is 46800237.

It is an interprime number because it is at equal distance from previous prime (732008639981) and next prime (732008640019).

It is a tau number, because it is divible by the number of its divisors (800).

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 732008640000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1087679664 + ... + 1087680336.

Almost surely, 2^732008640000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 732008640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344098650752).

732008640000 is an abundant number, since it is smaller than the sum of its proper divisors (1956188661504).

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

732008640000 is a wasteful number, since it uses less digits than its factorization.

732008640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 732008640000 in words is "seven hundred thirty-two billion, eight million, six hundred forty thousand".