10616467680 has 288 divisors, whose sum is σ = 44589714624. Its totient is φ = 2239930368.

The previous prime is 10616467661. The next prime is 10616467699. The reversal of 10616467680 is 8676461601.

10616467680 is a `hidden beast` number, since 106 + 1 + 6 + 467 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (10616467661) and next prime (10616467699).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10616467680² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 90532 + ... + 171548.

It is an arithmetic number, because the mean of its divisors is an integer number (154825398).

Almost surely, 2^10616467680 is an apocalyptic number.

10616467680 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 10616467680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22294857312).

10616467680 is an abundant number, since it is smaller than the sum of its proper divisors (33973246944).

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

10616467680 is a wasteful number, since it uses less digits than its factorization.

10616467680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81058 (or 81047 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10616467680 in words is "ten billion, six hundred sixteen million, four hundred sixty-seven thousand, six hundred eighty".