76283374815648 has 576 divisors, whose sum is σ = 291317157331200. Its totient is φ = 18286369505280.

The previous prime is 76283374815647. The next prime is 76283374815749. The reversal of 76283374815648 is 84651847338267.

76283374815648 is a `hidden beast` number, since 7 + 6 + 2 + 83 + 3 + 7 + 481 + 5 + 64 + 8 = 666.

It is a super-3 number, since 3×76283374815648³ (a number of 43 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (76283374815647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1807256368 + ... + 1807298576.

It is an arithmetic number, because the mean of its divisors is an integer number (505758953700).

Almost surely, 2^{76283374815648} is an apocalyptic number.

76283374815648 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 76283374815648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145658578665600).

76283374815648 is an abundant number, since it is smaller than the sum of its proper divisors (215033782515552).

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

76283374815648 is a wasteful number, since it uses less digits than its factorization.

76283374815648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48525 (or 48514 counting only the distinct ones).

The product of its digits is 1300561920, while the sum is 72.

The spelling of 76283374815648 in words is "seventy-six trillion, two hundred eighty-three billion, three hundred seventy-four million, eight hundred fifteen thousand, six hundred forty-eight".