247092780480 has 672 divisors, whose sum is σ = 1025806204416. Its totient is φ = 49062150144.

The previous prime is 247092780469. The next prime is 247092780481. The reversal of 247092780480 is 84087290742.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×247092780480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247092780481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25242147 + ... + 25251933.

It is an arithmetic number, because the mean of its divisors is an integer number (1526497328).

Almost surely, 2^247092780480 is an apocalyptic number.

247092780480 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 247092780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512903102208).

247092780480 is an abundant number, since it is smaller than the sum of its proper divisors (778713423936).

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

247092780480 is a wasteful number, since it uses less digits than its factorization.

247092780480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9861 (or 9834 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The spelling of 247092780480 in words is "two hundred forty-seven billion, ninety-two million, seven hundred eighty thousand, four hundred eighty".