164827837440 has 704 divisors, whose sum is σ = 681031987200. Its totient is φ = 37023547392.

The previous prime is 164827837357. The next prime is 164827837463. The reversal of 164827837440 is 44738728461.

164827837440 is a `hidden beast` number, since 16 + 482 + 7 + 83 + 74 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57091677 + ... + 57094563.

Almost surely, 2^164827837440 is an apocalyptic number.

164827837440 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 164827837440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340515993600).

164827837440 is an abundant number, since it is smaller than the sum of its proper divisors (516204149760).

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

164827837440 is a wasteful number, since it uses less digits than its factorization.

164827837440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2987 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 164827837440 in words is "one hundred sixty-four billion, eight hundred twenty-seven million, eight hundred thirty-seven thousand, four hundred forty".