1672546987980 has 864 divisors, whose sum is σ = 6341570403840. Its totient is φ = 364928256000.

The previous prime is 1672546987931. The next prime is 1672546987999. The reversal of 1672546987980 is 897896452761.

1672546987980 is a `hidden beast` number, since 1 + 6 + 7 + 2 + 5 + 469 + 87 + 9 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1672546987899 and 1672546987908.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 434313055 + ... + 434316905.

It is an arithmetic number, because the mean of its divisors is an integer number (7339780560).

Almost surely, 2^{1672546987980} is an apocalyptic number.

1672546987980 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 1672546987980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170785201920).

1672546987980 is an abundant number, since it is smaller than the sum of its proper divisors (4669023415860).

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

1672546987980 is a wasteful number, since it uses less digits than its factorization.

1672546987980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3948 (or 3912 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 1672546987980 in words is "one trillion, six hundred seventy-two billion, five hundred forty-six million, nine hundred eighty-seven thousand, nine hundred eighty".