8646477840 has 1600 divisors, whose sum is σ = 42589274112. Its totient is φ = 1567641600.

The previous prime is 8646477817. The next prime is 8646477863. The reversal of 8646477840 is 487746468.

It is an interprime number because it is at equal distance from previous prime (8646477817) and next prime (8646477863).

It is a super-2 number, since 2×8646477840² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 201080859 + ... + 201080901.

Almost surely, 2^8646477840 is an apocalyptic number.

8646477840 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 8646477840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21294637056).

8646477840 is an abundant number, since it is smaller than the sum of its proper divisors (33942796272).

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

8646477840 is a wasteful number, since it uses less digits than its factorization.

8646477840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The square root of 8646477840 is about 92986.4390112881. The cubic root of 8646477840 is about 2052.4838296891.

The spelling of 8646477840 in words is "eight billion, six hundred forty-six million, four hundred seventy-seven thousand, eight hundred forty".