8061863040 has 1024 divisors, whose sum is σ = 36520243200. Its totient is φ = 1632337920.

The previous prime is 8061863011. The next prime is 8061863071. The reversal of 8061863040 is 403681608.

It is a happy number.

8061863040 is a `hidden beast` number, since 8 + 0 + 6 + 18 + 630 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8061862986 and 8061863004.

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, 97130839 + ... + 97130921.

It is an arithmetic number, because the mean of its divisors is an integer number (35664300).

Almost surely, 2^8061863040 is an apocalyptic number.

8061863040 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 8061863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18260121600).

8061863040 is an abundant number, since it is smaller than the sum of its proper divisors (28458380160).

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

8061863040 is a wasteful number, since it uses less digits than its factorization.

8061863040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8061863040 is about 89787.8780237065. The cubic root of 8061863040 is about 2005.1420218094.

The spelling of 8061863040 in words is "eight billion, sixty-one million, eight hundred sixty-three thousand, forty".