20477048760 has 576 divisors, whose sum is σ = 83492997120. Its totient is φ = 4258344960.

The previous prime is 20477048759. The next prime is 20477048789. The reversal of 20477048760 is 6784077402.

20477048760 is a `hidden beast` number, since 2 + 0 + 47 + 70 + 487 + 60 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22576227 + ... + 22577133.

It is an arithmetic number, because the mean of its divisors is an integer number (144953120).

Almost surely, 2^20477048760 is an apocalyptic number.

20477048760 is a gapful number since it is divisible by the number (20) 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 20477048760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41746498560).

20477048760 is an abundant number, since it is smaller than the sum of its proper divisors (63015948360).

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

20477048760 is a wasteful number, since it uses less digits than its factorization.

20477048760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 20477048760 in words is "twenty billion, four hundred seventy-seven million, forty-eight thousand, seven hundred sixty".