10406776423680 has 6480 divisors, whose sum is σ = 53495492649984. Its totient is φ = 1912940789760.

The previous prime is 10406776423601. The next prime is 10406776423777. The reversal of 10406776423680 is 8632467760401.

10406776423680 is a `hidden beast` number, since 1 + 0 + 406 + 77 + 64 + 2 + 36 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (6480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 335702465265 + ... + 335702465295.

Almost surely, 2^{10406776423680} is an apocalyptic number.

10406776423680 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 10406776423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26747746324992).

10406776423680 is an abundant number, since it is smaller than the sum of its proper divisors (43088716226304).

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

10406776423680 is a wasteful number, since it uses less digits than its factorization.

10406776423680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 10406776423680 in words is "ten trillion, four hundred six billion, seven hundred seventy-six million, four hundred twenty-three thousand, six hundred eighty".