1377463752 has 128 divisors (see below), whose sum is σ = 4384800000. Its totient is φ = 392491008.

The previous prime is 1377463741. The next prime is 1377463781. The reversal of 1377463752 is 2573647731.

1377463752 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 4 + 637 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1377463698 and 1377463707.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 677874 + ... + 679902.

It is an arithmetic number, because the mean of its divisors is an integer number (34256250).

Almost surely, 2^1377463752 is an apocalyptic number.

1377463752 is a gapful number since it is divisible by the number (12) 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 1377463752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2192400000).

1377463752 is an abundant number, since it is smaller than the sum of its proper divisors (3007336248).

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

1377463752 is a wasteful number, since it uses less digits than its factorization.

1377463752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 2490 counting only the distinct ones).

The product of its digits is 740880, while the sum is 45.

The square root of 1377463752 is about 37114.1987923759. The cubic root of 1377463752 is about 1112.6538108592.

The spelling of 1377463752 in words is "one billion, three hundred seventy-seven million, four hundred sixty-three thousand, seven hundred fifty-two".