1947776120640 has 1344 divisors, whose sum is σ = 8523132641280. Its totient is φ = 409929154560.

The previous prime is 1947776120621. The next prime is 1947776120681. The reversal of 1947776120640 is 460216777491.

It is a happy number.

1947776120640 is a `hidden beast` number, since 1 + 9 + 477 + 7 + 6 + 120 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×1947776120640² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 821498655 + ... + 821501025.

Almost surely, 2^{1947776120640} is an apocalyptic number.

1947776120640 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 1947776120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4261566320640).

1947776120640 is an abundant number, since it is smaller than the sum of its proper divisors (6575356520640).

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

1947776120640 is a wasteful number, since it uses less digits than its factorization.

1947776120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 1947776120640 in words is "one trillion, nine hundred forty-seven billion, seven hundred seventy-six million, one hundred twenty thousand, six hundred forty".