305645764000 has 96 divisors (see below), whose sum is σ = 751324378896. Its totient is φ = 122200883200.

The previous prime is 305645763949. The next prime is 305645764007. The reversal of 305645764000 is 467546503.

It can be written as a sum of positive squares in 8 ways, for example, as 11304792976 + 294340971024 = 106324^2 + 542532^2 .

It is a super-2 number, since 2×305645764000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (305645764007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9075192 + ... + 9108808.

Almost surely, 2^305645764000 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 305645764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375662189448).

305645764000 is an abundant number, since it is smaller than the sum of its proper divisors (445678614896).

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

305645764000 is a wasteful number, since it uses less digits than its factorization.

305645764000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35915 (or 35897 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 40.

The spelling of 305645764000 in words is "three hundred five billion, six hundred forty-five million, seven hundred sixty-four thousand".