945770729904 has 480 divisors, whose sum is σ = 3672559941120. Its totient is φ = 226757076480.

The previous prime is 945770729821. The next prime is 945770729993. The reversal of 945770729904 is 409927077549.

945770729904 is a `hidden beast` number, since 9 + 457 + 70 + 7 + 29 + 90 + 4 = 666.

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

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, 4657339 + ... + 4856165.

It is an arithmetic number, because the mean of its divisors is an integer number (7651166544).

Almost surely, 2^945770729904 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 945770729904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836279970560).

945770729904 is an abundant number, since it is smaller than the sum of its proper divisors (2726789211216).

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

945770729904 is a wasteful number, since it uses less digits than its factorization.

945770729904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198886 (or 198863 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 945770729904 in words is "nine hundred forty-five billion, seven hundred seventy million, seven hundred twenty-nine thousand, nine hundred four".