7461167863968 has 576 divisors, whose sum is σ = 27651478982400. Its totient is φ = 1864192112640.

The previous prime is 7461167863937. The next prime is 7461167863979. The reversal of 7461167863968 is 8693687611647.

It is a happy number.

7461167863968 is a `hidden beast` number, since 7 + 46 + 116 + 7 + 86 + 396 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 7461167863896 and 7461167863905.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84109558 + ... + 84198218.

It is an arithmetic number, because the mean of its divisors is an integer number (48006039900).

Almost surely, 2^{7461167863968} is an apocalyptic number.

7461167863968 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 7461167863968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13825739491200).

7461167863968 is an abundant number, since it is smaller than the sum of its proper divisors (20190311118432).

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

7461167863968 is a wasteful number, since it uses less digits than its factorization.

7461167863968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88742 (or 88705 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 72.

The spelling of 7461167863968 in words is "seven trillion, four hundred sixty-one billion, one hundred sixty-seven million, eight hundred sixty-three thousand, nine hundred sixty-eight".