1748961392640 has 3072 divisors, whose sum is σ = 8086522429440. Its totient is φ = 311427072000.

The previous prime is 1748961392639. The next prime is 1748961392641. The reversal of 1748961392640 is 462931698471.

It is an interprime number because it is at equal distance from previous prime (1748961392639) and next prime (1748961392641).

It is a tau number, because it is divible by the number of its divisors (3072).

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 (1748961392641) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 28671498210 + ... + 28671498270.

It is an arithmetic number, because the mean of its divisors is an integer number (2632331520).

Almost surely, 2^{1748961392640} is an apocalyptic number.

1748961392640 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 1748961392640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043261214720).

1748961392640 is an abundant number, since it is smaller than the sum of its proper divisors (6337561036800).

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

1748961392640 is a wasteful number, since it uses less digits than its factorization.

1748961392640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 60.

The spelling of 1748961392640 in words is "one trillion, seven hundred forty-eight billion, nine hundred sixty-one million, three hundred ninety-two thousand, six hundred forty".