10348400664 has 96 divisors (see below), whose sum is σ = 32074043040. Its totient is φ = 2952691200.

The previous prime is 10348400651. The next prime is 10348400677. The reversal of 10348400664 is 46600484301.

It is an interprime number because it is at equal distance from previous prime (10348400651) and next prime (10348400677).

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, 370054 + ... + 397034.

It is an arithmetic number, because the mean of its divisors is an integer number (334104615).

Almost surely, 2^10348400664 is an apocalyptic number.

10348400664 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 10348400664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16037021520).

10348400664 is an abundant number, since it is smaller than the sum of its proper divisors (21725642376).

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

10348400664 is a wasteful number, since it uses less digits than its factorization.

10348400664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27761 (or 27754 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 10348400664 its reverse (46600484301), we get a palindrome (56948884965).

The spelling of 10348400664 in words is "ten billion, three hundred forty-eight million, four hundred thousand, six hundred sixty-four".