1402337664 has 480 divisors, whose sum is σ = 5228346600. Its totient is φ = 369847296.

The previous prime is 1402337663. The next prime is 1402337689. The reversal of 1402337664 is 4667332041.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1402337663) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 107872122 + ... + 107872134.

Almost surely, 2^1402337664 is an apocalyptic number.

1402337664 is a gapful number since it is divisible by the number (14) 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 1402337664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614173300).

1402337664 is an abundant number, since it is smaller than the sum of its proper divisors (3826008936).

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

1402337664 is an frugal number, since it uses more digits than its factorization.

1402337664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 1402337664 is about 37447.7991876692. The cubic root of 1402337664 is about 1119.3112431946.

The spelling of 1402337664 in words is "one billion, four hundred two million, three hundred thirty-seven thousand, six hundred sixty-four".