16761477420 has 480 divisors, whose sum is σ = 59539898880. Its totient is φ = 3924910080.

The previous prime is 16761477419. The next prime is 16761477463. The reversal of 16761477420 is 2477416761.

16761477420 is a `hidden beast` number, since 1 + 6 + 7 + 614 + 7 + 7 + 4 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 24758122 + ... + 24758798.

It is an arithmetic number, because the mean of its divisors is an integer number (124041456).

Almost surely, 2^16761477420 is an apocalyptic number.

16761477420 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 16761477420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29769949440).

16761477420 is an abundant number, since it is smaller than the sum of its proper divisors (42778421460).

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

16761477420 is a wasteful number, since it uses less digits than its factorization.

16761477420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 16761477420 in words is "sixteen billion, seven hundred sixty-one million, four hundred seventy-seven thousand, four hundred twenty".