47776061427840 has 384 divisors, whose sum is σ = 175397744321280. Its totient is φ = 11956424663040.

The previous prime is 47776061427811. The next prime is 47776061427869. The reversal of 47776061427840 is 4872416067774.

47776061427840 is a `hidden beast` number, since 4 + 7 + 7 + 7 + 6 + 0 + 614 + 2 + 7 + 8 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (47776061427811) and next prime (47776061427869).

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3619285 + ... + 10423595.

It is an arithmetic number, because the mean of its divisors is an integer number (456764959170).

Almost surely, 2^{47776061427840} is an apocalyptic number.

47776061427840 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 47776061427840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87698872160640).

47776061427840 is an abundant number, since it is smaller than the sum of its proper divisors (127621682893440).

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

47776061427840 is a wasteful number, since it uses less digits than its factorization.

47776061427840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6804412 (or 6804397 counting only the distinct ones).

The product of its (nonzero) digits is 88510464, while the sum is 63.

The spelling of 47776061427840 in words is "forty-seven trillion, seven hundred seventy-six billion, sixty-one million, four hundred twenty-seven thousand, eight hundred forty".