745445376000 has 1920 divisors, whose sum is σ = 3194578033920. Its totient is φ = 169869312000.

The previous prime is 745445375981. The next prime is 745445376007. The reversal of 745445376000 is 673544547.

745445376000 is a `hidden beast` number, since 7 + 4 + 5 + 4 + 4 + 5 + 37 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (745445376007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12220415970 + ... + 12220416030.

It is an arithmetic number, because the mean of its divisors is an integer number (1663842726).

Almost surely, 2^745445376000 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 745445376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1597289016960).

745445376000 is an abundant number, since it is smaller than the sum of its proper divisors (2449132657920).

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

745445376000 is a wasteful number, since it uses less digits than its factorization.

745445376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 745445376000 in words is "seven hundred forty-five billion, four hundred forty-five million, three hundred seventy-six thousand".