1377330151680 has 576 divisors, whose sum is σ = 5715785349120. Its totient is φ = 307494641664.

The previous prime is 1377330151661. The next prime is 1377330151739. The reversal of 1377330151680 is 861510337731.

1377330151680 is a `hidden beast` number, since 1 + 37 + 73 + 30 + 1 + 516 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10336359 + ... + 10468761.

Almost surely, 2^{1377330151680} is an apocalyptic number.

1377330151680 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 1377330151680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2857892674560).

1377330151680 is an abundant number, since it is smaller than the sum of its proper divisors (4338455197440).

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

1377330151680 is a wasteful number, since it uses less digits than its factorization.

1377330151680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132483 (or 132463 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 1377330151680 in words is "one trillion, three hundred seventy-seven billion, three hundred thirty million, one hundred fifty-one thousand, six hundred eighty".