745022471760 has 2880 divisors, whose sum is σ = 3536542218240. Its totient is φ = 142968913920.

The previous prime is 745022471719. The next prime is 745022471789. The reversal of 745022471760 is 67174220547.

745022471760 is a `hidden beast` number, since 7 + 4 + 502 + 2 + 4 + 71 + 76 + 0 = 666.

It is a super-3 number, since 3×745022471760³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 20135742462 + ... + 20135742498.

It is an arithmetic number, because the mean of its divisors is an integer number (1227966048).

Almost surely, 2^745022471760 is an apocalyptic number.

745022471760 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 745022471760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768271109120).

745022471760 is an abundant number, since it is smaller than the sum of its proper divisors (2791519746480).

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

745022471760 is a wasteful number, since it uses less digits than its factorization.

745022471760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 745022471760 in words is "seven hundred forty-five billion, twenty-two million, four hundred seventy-one thousand, seven hundred sixty".