1375006464 has 216 divisors, whose sum is σ = 4419455040. Its totient is φ = 408231936.

The previous prime is 1375006441. The next prime is 1375006483. The reversal of 1375006464 is 4646005731.

It is a happy number.

1375006464 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 0 + 0 + 646 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 867817 + ... + 869399.

It is an arithmetic number, because the mean of its divisors is an integer number (20460440).

Almost surely, 2^1375006464 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 1375006464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209727520).

1375006464 is an abundant number, since it is smaller than the sum of its proper divisors (3044448576).

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

1375006464 is a wasteful number, since it uses less digits than its factorization.

1375006464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1375006464 is about 37081.0795959341. The cubic root of 1375006464 is about 1111.9917878040.

The spelling of 1375006464 in words is "one billion, three hundred seventy-five million, six thousand, four hundred sixty-four".