75676778496 has 378 divisors, whose sum is σ = 247656755892. Its totient is φ = 22932357120.

The previous prime is 75676778477. The next prime is 75676778497. The reversal of 75676778496 is 69487767657.

It is a happy number.

75676778496 is a `hidden beast` number, since 7 + 5 + 6 + 7 + 67 + 78 + 496 = 666.

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

Its product of digits (746807040) is a multiple of the sum of its prime divisors (16).

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (75676778497) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6879707131 + ... + 6879707141.

Almost surely, 2^75676778496 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 75676778496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123828377946).

75676778496 is an abundant number, since it is smaller than the sum of its proper divisors (171979977396).

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

75676778496 is an frugal number, since it uses more digits than its factorization.

75676778496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 16 counting only the distinct ones).

The product of its digits is 746807040, while the sum is 72.

The spelling of 75676778496 in words is "seventy-five billion, six hundred seventy-six million, seven hundred seventy-eight thousand, four hundred ninety-six".