76496040348 has 288 divisors, whose sum is σ = 226474569216. Its totient is φ = 19669718016.

The previous prime is 76496040323. The next prime is 76496040359. The reversal of 76496040348 is 84304069467.

It is a super-2 number, since 2×76496040348² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 76496040348.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 220449511 + ... + 220449857.

It is an arithmetic number, because the mean of its divisors is an integer number (786370032).

Almost surely, 2^76496040348 is an apocalyptic number.

76496040348 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 76496040348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113237284608).

76496040348 is an abundant number, since it is smaller than the sum of its proper divisors (149978528868).

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

76496040348 is a wasteful number, since it uses less digits than its factorization.

76496040348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 76496040348 in words is "seventy-six billion, four hundred ninety-six million, forty thousand, three hundred forty-eight".