730026419850000 has 8640 divisors, whose sum is σ = 3611100234792960. Its totient is φ = 138820262400000.

The previous prime is 730026419849957. The next prime is 730026419850001. The reversal of 730026419850000 is 58914620037.

730026419850000 is a `hidden beast` number, since 7 + 30 + 0 + 26 + 4 + 1 + 98 + 500 + 0 + 0 = 666.

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 (730026419850001) by changing a digit.

It is a polite number, since it can be written in 1727 ways as a sum of consecutive naturals, for example, 12373329149971 + ... + 12373329150029.

It is an arithmetic number, because the mean of its divisors is an integer number (417951416064).

It is a 2-persistent number, because it is pandigital, and so is 2⋅730026419850000 = 1460052839700000, but 3⋅730026419850000 = 2190079259550000 is not.

Almost surely, 2^{730026419850000} is an apocalyptic number.

730026419850000 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 730026419850000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805550117396480).

730026419850000 is an abundant number, since it is smaller than the sum of its proper divisors (2881073814942960).

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

730026419850000 is a wasteful number, since it uses less digits than its factorization.

730026419850000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 730026419850000 in words is "seven hundred thirty trillion, twenty-six billion, four hundred nineteen million, eight hundred fifty thousand".