186428048640 has 288 divisors, whose sum is σ = 627528276480. Its totient is φ = 47038537728.

The previous prime is 186428048579. The next prime is 186428048647. The reversal of 186428048640 is 46840824681.

It is a super-3 number, since 3×186428048640³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (186428048647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108198819 + ... + 108200541.

Almost surely, 2^186428048640 is an apocalyptic number.

186428048640 is a gapful number since it is divisible by the number (10) 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 186428048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313764138240).

186428048640 is an abundant number, since it is smaller than the sum of its proper divisors (441100227840).

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

186428048640 is a wasteful number, since it uses less digits than its factorization.

186428048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3249 (or 3235 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 51.

The spelling of 186428048640 in words is "one hundred eighty-six billion, four hundred twenty-eight million, forty-eight thousand, six hundred forty".