1407968064 has 84 divisors (see below), whose sum is σ = 4043338624. Its totient is φ = 468433152.

The previous prime is 1407968063. The next prime is 1407968071. The reversal of 1407968064 is 4608697041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1407968063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 347619 + ... + 351645.

Almost surely, 2^1407968064 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 1407968064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021669312).

1407968064 is an abundant number, since it is smaller than the sum of its proper divisors (2635370560).

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

1407968064 is a wasteful number, since it uses less digits than its factorization.

1407968064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4652 (or 4639 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1407968064 is about 37522.9005275445. The cubic root of 1407968064 is about 1120.8072581519.

The spelling of 1407968064 in words is "one billion, four hundred seven million, nine hundred sixty-eight thousand, sixty-four".