1375496640 has 756 divisors, whose sum is σ = 6023600856. Its totient is φ = 297851904.

The previous prime is 1375496597. The next prime is 1375496657. The reversal of 1375496640 is 466945731.

1375496640 is a `hidden beast` number, since 1 + 3 + 7 + 549 + 66 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 72394551 + ... + 72394569.

It is an arithmetic number, because the mean of its divisors is an integer number (7967726).

It is a vampire number, since it can be written as 14364 ⋅ 95760 (with its own digits).

Almost surely, 2^1375496640 is an apocalyptic number.

1375496640 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 1375496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3011800428).

1375496640 is an abundant number, since it is smaller than the sum of its proper divisors (4648104216).

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

1375496640 is an equidigital number, since it uses as much as digits as its factorization.

1375496640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 1375496640 is about 37087.6885232822. The cubic root of 1375496640 is about 1112.1239100747.

The spelling of 1375496640 in words is "one billion, three hundred seventy-five million, four hundred ninety-six thousand, six hundred forty".