749265603840 has 1080 divisors, whose sum is σ = 2994757774008. Its totient is φ = 177805393920.

The previous prime is 749265603833. The next prime is 749265603847. The reversal of 749265603840 is 48306562947.

749265603840 is a `hidden beast` number, since 7 + 4 + 9 + 2 + 6 + 560 + 38 + 40 = 666.

749265603840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (749265603833) and next prime (749265603847).

It can be written as a sum of positive squares in 12 ways, for example, as 158187561984 + 591078041856 = 397728^2 + 768816^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×749265603840² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (749265603847) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1133533110 + ... + 1133533770.

Almost surely, 2^749265603840 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 749265603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497378887004).

749265603840 is an abundant number, since it is smaller than the sum of its proper divisors (2245492170168).

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

749265603840 is a wasteful number, since it uses less digits than its factorization.

749265603840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 749265603840 in words is "seven hundred forty-nine billion, two hundred sixty-five million, six hundred three thousand, eight hundred forty".