76238481312 has 384 divisors, whose sum is σ = 268189286400. Its totient is φ = 20583134208.

The previous prime is 76238481311. The next prime is 76238481313. The reversal of 76238481312 is 21318483267.

76238481312 is a `hidden beast` number, since 7 + 623 + 8 + 4 + 8 + 1 + 3 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (76238481311) and next prime (76238481313).

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

It is not an unprimeable number, because it can be changed into a prime (76238481311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69751038 + ... + 69752130.

It is an arithmetic number, because the mean of its divisors is an integer number (698409600).

Almost surely, 2^76238481312 is an apocalyptic number.

76238481312 is a gapful number since it is divisible by the number (72) 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 76238481312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134094643200).

76238481312 is an abundant number, since it is smaller than the sum of its proper divisors (191950805088).

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

76238481312 is a wasteful number, since it uses less digits than its factorization.

76238481312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1745 (or 1731 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The spelling of 76238481312 in words is "seventy-six billion, two hundred thirty-eight million, four hundred eighty-one thousand, three hundred twelve".