11677404480 has 224 divisors, whose sum is σ = 43834141440. Its totient is φ = 2577039360.

The previous prime is 11677404469. The next prime is 11677404481. The reversal of 11677404480 is 8440477611.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11677404481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164920 + ... + 224840.

Almost surely, 2^11677404480 is an apocalyptic number.

11677404480 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 11677404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21917070720).

11677404480 is an abundant number, since it is smaller than the sum of its proper divisors (32156736960).

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

11677404480 is a wasteful number, since it uses less digits than its factorization.

11677404480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59977 (or 59967 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 11677404480 in words is "eleven billion, six hundred seventy-seven million, four hundred four thousand, four hundred eighty".