10406764480 has 112 divisors (see below), whose sum is σ = 29235050496. Its totient is φ = 3452912640.

The previous prime is 10406764457. The next prime is 10406764513. The reversal of 10406764480 is 8446760401.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5494 + ... + 144373.

Almost surely, 2^10406764480 is an apocalyptic number.

10406764480 is a gapful number since it is divisible by the number (10) 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 10406764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14617525248).

10406764480 is an abundant number, since it is smaller than the sum of its proper divisors (18828286016).

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

10406764480 is a wasteful number, since it uses less digits than its factorization.

10406764480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149922 (or 149912 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 10406764480 in words is "ten billion, four hundred six million, seven hundred sixty-four thousand, four hundred eighty".