745950965760 has 1872 divisors, whose sum is σ = 3501937939968. Its totient is φ = 142619443200.

The previous prime is 745950965731. The next prime is 745950965791. The reversal of 745950965760 is 67569059547.

745950965760 is a `hidden beast` number, since 7 + 4 + 5 + 9 + 50 + 9 + 6 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2398556005 + ... + 2398556315.

It is an arithmetic number, because the mean of its divisors is an integer number (1870693344).

Almost surely, 2^745950965760 is an apocalyptic number.

745950965760 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 745950965760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750968969984).

745950965760 is an abundant number, since it is smaller than the sum of its proper divisors (2755986974208).

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

745950965760 is a wasteful number, since it uses less digits than its factorization.

745950965760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 71442000, while the sum is 63.

The spelling of 745950965760 in words is "seven hundred forty-five billion, nine hundred fifty million, nine hundred sixty-five thousand, seven hundred sixty".