1377921694464 has 648 divisors, whose sum is σ = 4750359344640. Its totient is φ = 390732429312.

The previous prime is 1377921694459. The next prime is 1377921694483. The reversal of 1377921694464 is 4644961297731.

1377921694464 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 9 + 2 + 169 + 4 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1916441497 + ... + 1916442215.

Almost surely, 2^{1377921694464} is an apocalyptic number.

1377921694464 is a gapful number since it is divisible by the number (14) 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 1377921694464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375179672320).

1377921694464 is an abundant number, since it is smaller than the sum of its proper divisors (3372437650176).

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

1377921694464 is an frugal number, since it uses more digits than its factorization.

1377921694464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 894 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The spelling of 1377921694464 in words is "one trillion, three hundred seventy-seven billion, nine hundred twenty-one million, six hundred ninety-four thousand, four hundred sixty-four".