165742424640 has 448 divisors, whose sum is σ = 634334641920. Its totient is φ = 40496578560.

The previous prime is 165742424591. The next prime is 165742424641. The reversal of 165742424640 is 46424247561.

It is a happy number.

165742424640 is a `hidden beast` number, since 16 + 574 + 2 + 4 + 2 + 4 + 64 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (165742424641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15382455 + ... + 15393225.

It is an arithmetic number, because the mean of its divisors is an integer number (1415925540).

Almost surely, 2^165742424640 is an apocalyptic number.

165742424640 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 165742424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317167320960).

165742424640 is an abundant number, since it is smaller than the sum of its proper divisors (468592217280).

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

165742424640 is a wasteful number, since it uses less digits than its factorization.

165742424640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10947 (or 10931 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 165742424640 in words is "one hundred sixty-five billion, seven hundred forty-two million, four hundred twenty-four thousand, six hundred forty".