1377907745760 has 1728 divisors, whose sum is σ = 6215970668544. Its totient is φ = 275092070400.

The previous prime is 1377907745701. The next prime is 1377907745777. The reversal of 1377907745760 is 675477097731.

1377907745760 is a `hidden beast` number, since 1 + 37 + 7 + 90 + 7 + 7 + 457 + 60 = 666.

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

It is a congruent number.

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, 1336476445 + ... + 1336477475.

It is an arithmetic number, because the mean of its divisors is an integer number (3597205248).

Almost surely, 2^{1377907745760} is an apocalyptic number.

1377907745760 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 1377907745760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107985334272).

1377907745760 is an abundant number, since it is smaller than the sum of its proper divisors (4838062922784).

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

1377907745760 is a wasteful number, since it uses less digits than its factorization.

1377907745760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 54454680, while the sum is 63.

The spelling of 1377907745760 in words is "one trillion, three hundred seventy-seven billion, nine hundred seven million, seven hundred forty-five thousand, seven hundred sixty".