10462646880 has 576 divisors, whose sum is σ = 43501086720. Its totient is φ = 2324588544.

The previous prime is 10462646879. The next prime is 10462646897. The reversal of 10462646880 is 8864626401.

10462646880 is a `hidden beast` number, since 10 + 4 + 626 + 4 + 6 + 8 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10069401 + ... + 10070439.

It is an arithmetic number, because the mean of its divisors is an integer number (75522720).

Almost surely, 2^10462646880 is an apocalyptic number.

10462646880 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 10462646880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21750543360).

10462646880 is an abundant number, since it is smaller than the sum of its proper divisors (33038439840).

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

10462646880 is a wasteful number, since it uses less digits than its factorization.

10462646880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 10462646880 in words is "ten billion, four hundred sixty-two million, six hundred forty-six thousand, eight hundred eighty".