10407676366080 has 2880 divisors, whose sum is σ = 46908775710720. Its totient is φ = 2149908480000.

The previous prime is 10407676366067. The next prime is 10407676366081. The reversal of 10407676366080 is 8066367670401.

10407676366080 is a `hidden beast` number, since 1 + 0 + 407 + 6 + 76 + 36 + 60 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10407676366081) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 41464845955 + ... + 41464846205.

It is an arithmetic number, because the mean of its divisors is an integer number (16287769344).

Almost surely, 2^{10407676366080} is an apocalyptic number.

10407676366080 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 10407676366080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23454387855360).

10407676366080 is an abundant number, since it is smaller than the sum of its proper divisors (36501099344640).

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

10407676366080 is a wasteful number, since it uses less digits than its factorization.

10407676366080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 10407676366080 in words is "ten trillion, four hundred seven billion, six hundred seventy-six million, three hundred sixty-six thousand, eighty".