736868005440 has 336 divisors, whose sum is σ = 2730273748992. Its totient is φ = 167885512704.

The previous prime is 736868005421. The next prime is 736868005451. The reversal of 736868005440 is 44500868637.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×736868005440² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14698497 + ... + 14748543.

Almost surely, 2^736868005440 is an apocalyptic number.

736868005440 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 736868005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365136874496).

736868005440 is an abundant number, since it is smaller than the sum of its proper divisors (1993405743552).

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

736868005440 is a wasteful number, since it uses less digits than its factorization.

736868005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50394 (or 50377 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 736868005440 in words is "seven hundred thirty-six billion, eight hundred sixty-eight million, five thousand, four hundred forty".