46872970560 has 336 divisors, whose sum is σ = 174106667280. Its totient is φ = 11505991680.

The previous prime is 46872970559. The next prime is 46872970567. The reversal of 46872970560 is 6507927864.

46872970560 is a `hidden beast` number, since 4 + 6 + 8 + 7 + 2 + 9 + 70 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3135104064 + 43737866496 = 55992^2 + 209136^2 .

It is a junction number, because it is equal to n+sod(n) for n = 46872970497 and 46872970506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46872970567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15311430 + ... + 15314490.

It is an arithmetic number, because the mean of its divisors is an integer number (518174605).

Almost surely, 2^46872970560 is an apocalyptic number.

46872970560 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 46872970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87053333640).

46872970560 is an abundant number, since it is smaller than the sum of its proper divisors (127233696720).

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

46872970560 is a wasteful number, since it uses less digits than its factorization.

46872970560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3506 (or 3493 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 46872970560 in words is "forty-six billion, eight hundred seventy-two million, nine hundred seventy thousand, five hundred sixty".