7827367761036 has 384 divisors, whose sum is σ = 22368310272000. Its totient is φ = 2356917792768.

The previous prime is 7827367761023. The next prime is 7827367761047. The reversal of 7827367761036 is 6301677637287.

It is a happy number.

7827367761036 is a `hidden beast` number, since 7 + 8 + 2 + 7 + 3 + 6 + 7 + 7 + 610 + 3 + 6 = 666.

It is a super-2 number, since 2×7827367761036² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1769694321 + ... + 1769698743.

It is an arithmetic number, because the mean of its divisors is an integer number (58250808000).

Almost surely, 2^{7827367761036} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7827367761036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11184155136000).

7827367761036 is an abundant number, since it is smaller than the sum of its proper divisors (14540942510964).

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

7827367761036 is a wasteful number, since it uses less digits than its factorization.

7827367761036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4838 (or 4830 counting only the distinct ones).

The product of its (nonzero) digits is 74680704, while the sum is 63.

The spelling of 7827367761036 in words is "seven trillion, eight hundred twenty-seven billion, three hundred sixty-seven million, seven hundred sixty-one thousand, thirty-six".