8470006634880 has 2048 divisors, whose sum is σ = 37257228288000. Its totient is φ = 1777257676800.

The previous prime is 8470006634867. The next prime is 8470006634923. The reversal of 8470006634880 is 884366000748.

8470006634880 is a `hidden beast` number, since 8 + 470 + 0 + 0 + 66 + 34 + 8 + 80 = 666.

It is a super-2 number, since 2×8470006634880² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5688385176 + ... + 5688386664.

It is an arithmetic number, because the mean of its divisors is an integer number (18192006000).

Almost surely, 2^{8470006634880} is an apocalyptic number.

8470006634880 is a gapful number since it is divisible by the number (80) 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 8470006634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18628614144000).

8470006634880 is an abundant number, since it is smaller than the sum of its proper divisors (28787221653120).

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

8470006634880 is a wasteful number, since it uses less digits than its factorization.

8470006634880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 8470006634880 in words is "eight trillion, four hundred seventy billion, six million, six hundred thirty-four thousand, eight hundred eighty".