8406747578880 has 1280 divisors, whose sum is σ = 35400841344000. Its totient is φ = 1889716469760.

The previous prime is 8406747578797. The next prime is 8406747578951. The reversal of 8406747578880 is 888757476048.

It is a happy number.

8406747578880 is a `hidden beast` number, since 8 + 4 + 0 + 6 + 7 + 47 + 578 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 8406747578799 and 8406747578808.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1446194854 + ... + 1446200666.

It is an arithmetic number, because the mean of its divisors is an integer number (27656907300).

Almost surely, 2^{8406747578880} is an apocalyptic number.

8406747578880 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 8406747578880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17700420672000).

8406747578880 is an abundant number, since it is smaller than the sum of its proper divisors (26994093765120).

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

8406747578880 is an equidigital number, since it uses as much as digits as its factorization.

8406747578880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5927 (or 5891 counting only the distinct ones).

The product of its (nonzero) digits is 674365440, while the sum is 72.

The spelling of 8406747578880 in words is "eight trillion, four hundred six billion, seven hundred forty-seven million, five hundred seventy-eight thousand, eight hundred eighty".