11674576980 has 720 divisors, whose sum is σ = 44618333760. Its totient is φ = 2525644800.

The previous prime is 11674576973. The next prime is 11674577003. The reversal of 11674576980 is 8967547611.

11674576980 is a `hidden beast` number, since 1 + 1 + 67 + 4 + 576 + 9 + 8 + 0 = 666.

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 239 ways as a sum of consecutive naturals, for example, 284745760 + ... + 284745800.

It is an arithmetic number, because the mean of its divisors is an integer number (61969908).

Almost surely, 2^11674576980 is an apocalyptic number.

11674576980 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 11674576980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22309166880).

11674576980 is an abundant number, since it is smaller than the sum of its proper divisors (32943756780).

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

11674576980 is a wasteful number, since it uses less digits than its factorization.

11674576980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 11674576980 in words is "eleven billion, six hundred seventy-four million, five hundred seventy-six thousand, nine hundred eighty".