1377699754464 has 360 divisors, whose sum is σ = 4529151479160. Its totient is φ = 410403248640.

The previous prime is 1377699754423. The next prime is 1377699754481. The reversal of 1377699754464 is 4644579967731.

It is a happy number.

1377699754464 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 6 + 99 + 75 + 4 + 464 = 666.

It is a super-2 number, since 2×1377699754464² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1377699754392 and 1377699754401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 18467062 + ... + 18541514.

It is an arithmetic number, because the mean of its divisors is an integer number (12580976331).

Almost surely, 2^{1377699754464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1377699754464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264575739580).

1377699754464 is an abundant number, since it is smaller than the sum of its proper divisors (3151451724696).

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

1377699754464 is a wasteful number, since it uses less digits than its factorization.

1377699754464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74556 (or 74528 counting only the distinct ones).

The product of its digits is 960180480, while the sum is 72.

The spelling of 1377699754464 in words is "one trillion, three hundred seventy-seven billion, six hundred ninety-nine million, seven hundred fifty-four thousand, four hundred sixty-four".