735220800000 has 1440 divisors, whose sum is σ = 2885698303488. Its totient is φ = 186624000000.

The previous prime is 735220799959. The next prime is 735220800019. The reversal of 735220800000 is 8022537.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 12052799970 + ... + 12052800030.

Almost surely, 2^735220800000 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 735220800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442849151744).

735220800000 is an abundant number, since it is smaller than the sum of its proper divisors (2150477503488).

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

735220800000 is an frugal number, since it uses more digits than its factorization.

735220800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 735220800000 its reverse (8022537), we get a palindrome (735228822537).

The spelling of 735220800000 in words is "seven hundred thirty-five billion, two hundred twenty million, eight hundred thousand".