740435711680 has 224 divisors, whose sum is σ = 2086914637440. Its totient is φ = 244829061120.

The previous prime is 740435711677. The next prime is 740435711699. The reversal of 740435711680 is 86117534047.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 740435711680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61121304 + ... + 61133416.

Almost surely, 2^740435711680 is an apocalyptic number.

740435711680 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 740435711680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043457318720).

740435711680 is an abundant number, since it is smaller than the sum of its proper divisors (1346478925760).

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

740435711680 is a wasteful number, since it uses less digits than its factorization.

740435711680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13107 (or 13097 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The spelling of 740435711680 in words is "seven hundred forty billion, four hundred thirty-five million, seven hundred eleven thousand, six hundred eighty".