1764098161920 has 1152 divisors, whose sum is σ = 6894526464000. Its totient is φ = 425443000320.

The previous prime is 1764098161919. The next prime is 1764098161927. The reversal of 1764098161920 is 291618904671.

1764098161920 is a `hidden beast` number, since 1 + 76 + 409 + 8 + 161 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×1764098161920² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1764098161927) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1608110812 + ... + 1608111908.

It is an arithmetic number, because the mean of its divisors is an integer number (5984832000).

Almost surely, 2^{1764098161920} is an apocalyptic number.

1764098161920 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 1764098161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447263232000).

1764098161920 is an abundant number, since it is smaller than the sum of its proper divisors (5130428302080).

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

1764098161920 is a wasteful number, since it uses less digits than its factorization.

1764098161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 1764098161920 in words is "one trillion, seven hundred sixty-four billion, ninety-eight million, one hundred sixty-one thousand, nine hundred twenty".