1630347264 has 448 divisors, whose sum is σ = 6018458880. Its totient is φ = 429981696.

The previous prime is 1630347217. The next prime is 1630347281. The reversal of 1630347264 is 4627430361.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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 31 ways as a sum of consecutive naturals, for example, 125411322 + ... + 125411334.

It is an arithmetic number, because the mean of its divisors is an integer number (13434060).

Almost surely, 2^1630347264 is an apocalyptic number.

1630347264 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 1630347264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3009229440).

1630347264 is an abundant number, since it is smaller than the sum of its proper divisors (4388111616).

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

1630347264 is an frugal number, since it uses more digits than its factorization.

1630347264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 25 counting only the distinct ones).

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

The square root of 1630347264 is about 40377.5589158136. The cubic root of 1630347264 is about 1176.9554916811.

The spelling of 1630347264 in words is "one billion, six hundred thirty million, three hundred forty-seven thousand, two hundred sixty-four".