4570678172160 has 480 divisors, whose sum is σ = 17050678115328. Its totient is φ = 1128241889280.

The previous prime is 4570678172107. The next prime is 4570678172201. The reversal of 4570678172160 is 612718760754.

4570678172160 is a `hidden beast` number, since 4 + 570 + 6 + 7 + 8 + 1 + 7 + 2 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 4570678172097 and 4570678172106.

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 47 ways as a sum of consecutive naturals, for example, 16288404 + ... + 16566636.

Almost surely, 2^{4570678172160} is an apocalyptic number.

4570678172160 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 4570678172160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8525339057664).

4570678172160 is an abundant number, since it is smaller than the sum of its proper divisors (12479999943168).

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

4570678172160 is a wasteful number, since it uses less digits than its factorization.

4570678172160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278316 (or 278297 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 4570678172160 in words is "four trillion, five hundred seventy billion, six hundred seventy-eight million, one hundred seventy-two thousand, one hundred sixty".