730882414080 has 960 divisors, whose sum is σ = 3231021201408. Its totient is φ = 154196213760.

The previous prime is 730882414057. The next prime is 730882414081. The reversal of 730882414080 is 80414288037.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×730882414080² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (730882414081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56602825 + ... + 56615735.

Almost surely, 2^730882414080 is an apocalyptic number.

730882414080 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 730882414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615510600704).

730882414080 is an abundant number, since it is smaller than the sum of its proper divisors (2500138787328).

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

730882414080 is a wasteful number, since it uses less digits than its factorization.

730882414080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12969 (or 12941 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 730882414080 in words is "seven hundred thirty billion, eight hundred eighty-two million, four hundred fourteen thousand, eighty".