734246400222720 has 6400 divisors, whose sum is σ = 3512209668194304. Its totient is φ = 142180614144000.

The previous prime is 734246400222701. The next prime is 734246400222737. The reversal of 734246400222720 is 27222004642437.

734246400222720 is a `hidden beast` number, since 7 + 342 + 4 + 64 + 0 + 0 + 2 + 227 + 20 = 666.

734246400222720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 1968489008454 + ... + 1968489008826.

Almost surely, 2^{734246400222720} is an apocalyptic number.

734246400222720 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 734246400222720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756104834097152).

734246400222720 is an abundant number, since it is smaller than the sum of its proper divisors (2777963267971584).

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

734246400222720 is a wasteful number, since it uses less digits than its factorization.

734246400222720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 45.

The spelling of 734246400222720 in words is "seven hundred thirty-four trillion, two hundred forty-six billion, four hundred million, two hundred twenty-two thousand, seven hundred twenty".