47780409600 has 2268 divisors, whose sum is σ = 236858433840. Its totient is φ = 9405849600.

The previous prime is 47780409587. The next prime is 47780409613. The reversal of 47780409600 is 690408774.

47780409600 is a `hidden beast` number, since 477 + 80 + 40 + 9 + 60 + 0 = 666.

47780409600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47780409587) and next prime (47780409613).

It is a tau number, because it is divible by the number of its divisors (2268).

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 251 ways as a sum of consecutive naturals, for example, 2514758391 + ... + 2514758409.

Almost surely, 2^47780409600 is an apocalyptic number.

47780409600 is a gapful number since it is divisible by the number (40) 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 47780409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118429216920).

47780409600 is an abundant number, since it is smaller than the sum of its proper divisors (189078024240).

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

47780409600 is a wasteful number, since it uses less digits than its factorization.

47780409600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 47780409600 in words is "forty-seven billion, seven hundred eighty million, four hundred nine thousand, six hundred".