76481653248 has 640 divisors, whose sum is σ = 304020541440. Its totient is φ = 18333941760.

The previous prime is 76481653217. The next prime is 76481653267. The reversal of 76481653248 is 84235618467.

It is a happy number.

76481653248 is a `hidden beast` number, since 7 + 64 + 8 + 1 + 6 + 532 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 76481653194 and 76481653203.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13835061 + ... + 13840587.

It is an arithmetic number, because the mean of its divisors is an integer number (475032096).

Almost surely, 2^76481653248 is an apocalyptic number.

76481653248 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 76481653248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152010270720).

76481653248 is an abundant number, since it is smaller than the sum of its proper divisors (227538888192).

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

76481653248 is a wasteful number, since it uses less digits than its factorization.

76481653248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5585 (or 5563 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 76481653248 in words is "seventy-six billion, four hundred eighty-one million, six hundred fifty-three thousand, two hundred forty-eight".