1778434680000 has 560 divisors, whose sum is σ = 6471766071936. Its totient is φ = 427284480000.

The previous prime is 1778434679941. The next prime is 1778434680041. The reversal of 1778434680000 is 864348771.

It is a super-2 number, since 2×1778434680000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 149154039 + ... + 149165961.

Almost surely, 2^{1778434680000} is an apocalyptic number.

1778434680000 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 1778434680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235883035968).

1778434680000 is an abundant number, since it is smaller than the sum of its proper divisors (4693331391936).

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

1778434680000 is a wasteful number, since it uses less digits than its factorization.

1778434680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12082 (or 12057 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 1778434680000 in words is "one trillion, seven hundred seventy-eight billion, four hundred thirty-four million, six hundred eighty thousand".