76540047737132 has 192 divisors, whose sum is σ = 167393949843456. Its totient is φ = 29903376856320.

The previous prime is 76540047737077. The next prime is 76540047737171. The reversal of 76540047737132 is 23173774004567.

It is a super-3 number, since 3×76540047737132³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 9292219718 + ... + 9292227954.

It is an arithmetic number, because the mean of its divisors is an integer number (871843488768).

Almost surely, 2^{76540047737132} 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 76540047737132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83696974921728).

76540047737132 is an abundant number, since it is smaller than the sum of its proper divisors (90853902106324).

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

76540047737132 is a wasteful number, since it uses less digits than its factorization.

76540047737132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15316 (or 15314 counting only the distinct ones).

The product of its (nonzero) digits is 20744640, while the sum is 56.

The spelling of 76540047737132 in words is "seventy-six trillion, five hundred forty billion, forty-seven million, seven hundred thirty-seven thousand, one hundred thirty-two".