11640477600 has 216 divisors, whose sum is σ = 42568212960. Its totient is φ = 3104075520.

The previous prime is 11640477593. The next prime is 11640477613. The reversal of 11640477600 is 677404611.

11640477600 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 0 + 47 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×11640477600² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 164461 + ... + 224339.

It is an arithmetic number, because the mean of its divisors is an integer number (197075060).

Almost surely, 2^11640477600 is an apocalyptic number.

11640477600 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 11640477600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21284106480).

11640477600 is an abundant number, since it is smaller than the sum of its proper divisors (30927735360).

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

11640477600 is an equidigital number, since it uses as much as digits as its factorization.

11640477600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59914 (or 59889 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 11640477600 in words is "eleven billion, six hundred forty million, four hundred seventy-seven thousand, six hundred".