736340339880 has 768 divisors, whose sum is σ = 2712235518720. Its totient is φ = 178958647296.

The previous prime is 736340339873. The next prime is 736340339899. The reversal of 736340339880 is 88933043637.

736340339880 is a `hidden beast` number, since 73 + 6 + 3 + 403 + 3 + 98 + 80 = 666.

It is a super-3 number, since 3×736340339880³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 726890254 + ... + 726891266.

It is an arithmetic number, because the mean of its divisors is an integer number (3531556665).

Almost surely, 2^736340339880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 736340339880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356117759360).

736340339880 is an abundant number, since it is smaller than the sum of its proper divisors (1975895178840).

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

736340339880 is a wasteful number, since it uses less digits than its factorization.

736340339880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 736340339880 in words is "seven hundred thirty-six billion, three hundred forty million, three hundred thirty-nine thousand, eight hundred eighty".