735348490240 has 1024 divisors, whose sum is σ = 2356290478080. Its totient is φ = 214035333120.

The previous prime is 735348490211. The next prime is 735348490249. The reversal of 735348490240 is 42094843537.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (735348490249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17101127659 + ... + 17101127701.

It is an arithmetic number, because the mean of its divisors is an integer number (2301064920).

Almost surely, 2^735348490240 is an apocalyptic number.

735348490240 is a gapful number since it is divisible by the number (70) 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 735348490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178145239040).

735348490240 is an abundant number, since it is smaller than the sum of its proper divisors (1620941987840).

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

735348490240 is a wasteful number, since it uses less digits than its factorization.

735348490240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 49.

The spelling of 735348490240 in words is "seven hundred thirty-five billion, three hundred forty-eight million, four hundred ninety thousand, two hundred forty".