164751037920 has 432 divisors, whose sum is σ = 660381452640. Its totient is φ = 37290129408.

The previous prime is 164751037903. The next prime is 164751037933. The reversal of 164751037920 is 29730157461.

164751037920 is a `hidden beast` number, since 1 + 6 + 47 + 510 + 3 + 7 + 92 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7256346 + ... + 7279014.

It is an arithmetic number, because the mean of its divisors is an integer number (1528660770).

Almost surely, 2^164751037920 is an apocalyptic number.

164751037920 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 164751037920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330190726320).

164751037920 is an abundant number, since it is smaller than the sum of its proper divisors (495630414720).

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

164751037920 is a wasteful number, since it uses less digits than its factorization.

164751037920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22807 (or 22789 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 164751037920 in words is "one hundred sixty-four billion, seven hundred fifty-one million, thirty-seven thousand, nine hundred twenty".