1945377792960 has 224 divisors, whose sum is σ = 7112830551552. Its totient is φ = 441263247360.

The previous prime is 1945377792947. The next prime is 1945377792997. The reversal of 1945377792960 is 692977735491.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224607 + ... + 1985246.

Almost surely, 2^{1945377792960} is an apocalyptic number.

1945377792960 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 1945377792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556415275776).

1945377792960 is an abundant number, since it is smaller than the sum of its proper divisors (5167452758592).

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

1945377792960 is a wasteful number, since it uses less digits than its factorization.

1945377792960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210011 (or 2210001 counting only the distinct ones).

The product of its (nonzero) digits is 180033840, while the sum is 69.

The spelling of 1945377792960 in words is "one trillion, nine hundred forty-five billion, three hundred seventy-seven million, seven hundred ninety-two thousand, nine hundred sixty".