10274000464 has 80 divisors (see below), whose sum is σ = 24584176512. Its totient is φ = 4050399744.

The previous prime is 10274000461. The next prime is 10274000521. The reversal of 10274000464 is 46400047201.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10274000461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 414567 + ... + 438649.

Almost surely, 2^10274000464 is an apocalyptic number.

10274000464 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 10274000464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12292088256).

10274000464 is an abundant number, since it is smaller than the sum of its proper divisors (14310176048).

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

10274000464 is a wasteful number, since it uses less digits than its factorization.

10274000464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24404 (or 24398 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

Adding to 10274000464 its reverse (46400047201), we get a palindrome (56674047665).

The spelling of 10274000464 in words is "ten billion, two hundred seventy-four million, four hundred sixty-four", and thus it is an aban number.