1764746168640 has 896 divisors, whose sum is σ = 7235095633920. Its totient is φ = 354403123200.

The previous prime is 1764746168527. The next prime is 1764746168641. The reversal of 1764746168640 is 468616474671.

It is a happy number.

It is a super-2 number, since 2×1764746168640² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1764746168641) 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, 179869335 + ... + 179879145.

It is an arithmetic number, because the mean of its divisors is an integer number (8074883520).

Almost surely, 2^{1764746168640} is an apocalyptic number.

1764746168640 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 1764746168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3617547816960).

1764746168640 is an abundant number, since it is smaller than the sum of its proper divisors (5470349465280).

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

1764746168640 is a wasteful number, since it uses less digits than its factorization.

1764746168640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9951 (or 9941 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 60.

The spelling of 1764746168640 in words is "one trillion, seven hundred sixty-four billion, seven hundred forty-six million, one hundred sixty-eight thousand, six hundred forty".