11620642176 has 384 divisors, whose sum is σ = 41007133440. Its totient is φ = 3108188160.

The previous prime is 11620642141. The next prime is 11620642217. The reversal of 11620642176 is 67124602611.

11620642176 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 0 + 642 + 1 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11620642176.

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, 3787395 + ... + 3790461.

It is an arithmetic number, because the mean of its divisors is an integer number (106789410).

Almost surely, 2^11620642176 is an apocalyptic number.

11620642176 is a gapful number since it is divisible by the number (16) 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 11620642176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20503566720).

11620642176 is an abundant number, since it is smaller than the sum of its proper divisors (29386491264).

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

11620642176 is a wasteful number, since it uses less digits than its factorization.

11620642176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3134 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

It can be divided in two parts, 11620 and 642176, that added together give a triangular number (653796 = T₁₁₄₃).

The spelling of 11620642176 in words is "eleven billion, six hundred twenty million, six hundred forty-two thousand, one hundred seventy-six".