1976378449920 has 672 divisors, whose sum is σ = 7478507121696. Its totient is φ = 444255436800.

The previous prime is 1976378449891. The next prime is 1976378449921. The reversal of 1976378449920 is 299448736791.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1976378449921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 367285630 + ... + 367291010.

Almost surely, 2^{1976378449920} is an apocalyptic number.

1976378449920 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 1976378449920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3739253560848).

1976378449920 is an abundant number, since it is smaller than the sum of its proper divisors (5502128671776).

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

1976378449920 is an equidigital number, since it uses as much as digits as its factorization.

1976378449920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5490 (or 5459 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 69.

The spelling of 1976378449920 in words is "one trillion, nine hundred seventy-six billion, three hundred seventy-eight million, four hundred forty-nine thousand, nine hundred twenty".