727294464000 has 2080 divisors, whose sum is σ = 3117004450560. Its totient is φ = 167215104000.

The previous prime is 727294463993. The next prime is 727294464023. The reversal of 727294464000 is 464492727.

It is a tau number, because it is divible by the number of its divisors (2080).

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 159 ways as a sum of consecutive naturals, for example, 10243583965 + ... + 10243584035.

It is an arithmetic number, because the mean of its divisors is an integer number (1498559832).

Almost surely, 2^727294464000 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 727294464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558502225280).

727294464000 is an abundant number, since it is smaller than the sum of its proper divisors (2389709986560).

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

727294464000 is a wasteful number, since it uses less digits than its factorization.

727294464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 727294464000 in words is "seven hundred twenty-seven billion, two hundred ninety-four million, four hundred sixty-four thousand".