745414076160 has 864 divisors, whose sum is σ = 2881877526528. Its totient is φ = 176650813440.

The previous prime is 745414076159. The next prime is 745414076177. The reversal of 745414076160 is 61670414547.

745414076160 is a `hidden beast` number, since 7 + 4 + 5 + 414 + 0 + 76 + 160 = 666.

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 95 ways as a sum of consecutive naturals, for example, 1425265659 + ... + 1425266181.

Almost surely, 2^745414076160 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 745414076160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440938763264).

745414076160 is an abundant number, since it is smaller than the sum of its proper divisors (2136463450368).

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

745414076160 is a wasteful number, since it uses less digits than its factorization.

745414076160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 745414076160 in words is "seven hundred forty-five billion, four hundred fourteen million, seventy-six thousand, one hundred sixty".