1770849340416 has 1320 divisors, whose sum is σ = 6182564744400. Its totient is φ = 503078584320.

The previous prime is 1770849340391. The next prime is 1770849340423. The reversal of 1770849340416 is 6140439480771.

It is a happy number.

1770849340416 is a `hidden beast` number, since 1 + 7 + 70 + 8 + 493 + 40 + 41 + 6 = 666.

It is a super-3 number, since 3×1770849340416³ (a number of 38 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16246324170 + ... + 16246324278.

It is an arithmetic number, because the mean of its divisors is an integer number (4683761170).

Almost surely, 2^{1770849340416} is an apocalyptic number.

1770849340416 is a gapful number since it is divisible by the number (16) 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 1770849340416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3091282372200).

1770849340416 is an abundant number, since it is smaller than the sum of its proper divisors (4411715403984).

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

1770849340416 is a wasteful number, since it uses less digits than its factorization.

1770849340416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 1770849340416 in words is "one trillion, seven hundred seventy billion, eight hundred forty-nine million, three hundred forty thousand, four hundred sixteen".