76534013952 has 504 divisors, whose sum is σ = 254256034032. Its totient is φ = 22124298240.

The previous prime is 76534013951. The next prime is 76534014047. The reversal of 76534013952 is 25931043567.

It is a junction number, because it is equal to n+sod(n) for n = 76534013898 and 76534013907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76534013951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 205184838 + ... + 205185210.

It is an arithmetic number, because the mean of its divisors is an integer number (504476258).

Almost surely, 2^76534013952 is an apocalyptic number.

76534013952 is a gapful number since it is divisible by the number (72) 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 76534013952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127128017016).

76534013952 is an abundant number, since it is smaller than the sum of its proper divisors (177722020080).

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

76534013952 is a wasteful number, since it uses less digits than its factorization.

76534013952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 76534013952 in words is "seventy-six billion, five hundred thirty-four million, thirteen thousand, nine hundred fifty-two".