47774254080 has 704 divisors, whose sum is σ = 188462868480. Its totient is φ = 10080485376.

The previous prime is 47774254079. The next prime is 47774254133. The reversal of 47774254080 is 8045247774.

It is a super-3 number, since 3×47774254080³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 107842339 + ... + 107842781.

Almost surely, 2^47774254080 is an apocalyptic number.

47774254080 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 47774254080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94231434240).

47774254080 is an abundant number, since it is smaller than the sum of its proper divisors (140688614400).

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

47774254080 is a wasteful number, since it uses less digits than its factorization.

47774254080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 1756160, while the sum is 48.

The spelling of 47774254080 in words is "forty-seven billion, seven hundred seventy-four million, two hundred fifty-four thousand, eighty".