735325980480 has 1344 divisors, whose sum is σ = 3320853838848. Its totient is φ = 144919756800.

The previous prime is 735325980461. The next prime is 735325980491. The reversal of 735325980480 is 84089523537.

735325980480 is a `hidden beast` number, since 7 + 3 + 5 + 3 + 2 + 598 + 0 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 672758814 + ... + 672759906.

It is an arithmetic number, because the mean of its divisors is an integer number (2470873392).

Almost surely, 2^735325980480 is an apocalyptic number.

735325980480 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 735325980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660426919424).

735325980480 is an abundant number, since it is smaller than the sum of its proper divisors (2585527858368).

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

735325980480 is a wasteful number, since it uses less digits than its factorization.

735325980480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 735325980480 in words is "seven hundred thirty-five billion, three hundred twenty-five million, nine hundred eighty thousand, four hundred eighty".