1642966778880 has 1760 divisors, whose sum is σ = 7205860797696. Its totient is φ = 350865063936.

The previous prime is 1642966778867. The next prime is 1642966778891. The reversal of 1642966778880 is 888776692461.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1642966778799 and 1642966778808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11992458172 + ... + 11992458308.

Almost surely, 2^{1642966778880} is an apocalyptic number.

1642966778880 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 1642966778880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3602930398848).

1642966778880 is an abundant number, since it is smaller than the sum of its proper divisors (5562894018816).

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

1642966778880 is an frugal number, since it uses more digits than its factorization.

1642966778880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 1642966778880 in words is "one trillion, six hundred forty-two billion, nine hundred sixty-six million, seven hundred seventy-eight thousand, eight hundred eighty".