7861546368 has 640 divisors, whose sum is σ = 27618433920. Its totient is φ = 2197684224.

The previous prime is 7861546367. The next prime is 7861546409. The reversal of 7861546368 is 8636451687.

7861546368 is a `hidden beast` number, since 7 + 8 + 61 + 546 + 36 + 8 = 666.

It is a super-2 number, since 2×7861546368² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7861546361) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 107692380 + ... + 107692452.

It is an arithmetic number, because the mean of its divisors is an integer number (43153803).

Almost surely, 2^7861546368 is an apocalyptic number.

7861546368 is a gapful number since it is divisible by the number (78) 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 7861546368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13809216960).

7861546368 is an abundant number, since it is smaller than the sum of its proper divisors (19756887552).

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

7861546368 is a wasteful number, since it uses less digits than its factorization.

7861546368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 155 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 7861546368 is about 88665.3617147080. The cubic root of 7861546368 is about 1988.3949894416.

The spelling of 7861546368 in words is "seven billion, eight hundred sixty-one million, five hundred forty-six thousand, three hundred sixty-eight".