76357645299648 has 560 divisors, whose sum is σ = 237135430224000. Its totient is φ = 24263097384960.

The previous prime is 76357645299647. The next prime is 76357645299653. The reversal of 76357645299648 is 84699254675367.

76357645299648 is a `hidden beast` number, since 7 + 6 + 3 + 5 + 76 + 452 + 9 + 96 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76357645299647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6285091078 + ... + 6285103226.

It is an arithmetic number, because the mean of its divisors is an integer number (423456125400).

Almost surely, 2^{76357645299648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76357645299648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118567715112000).

76357645299648 is an abundant number, since it is smaller than the sum of its proper divisors (160777784924352).

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

76357645299648 is a wasteful number, since it uses less digits than its factorization.

76357645299648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12730 (or 12711 counting only the distinct ones).

The product of its digits is 16460236800, while the sum is 81.

The spelling of 76357645299648 in words is "seventy-six trillion, three hundred fifty-seven billion, six hundred forty-five million, two hundred ninety-nine thousand, six hundred forty-eight".