76537121472 has 336 divisors, whose sum is σ = 266691709440. Its totient is φ = 20486578176.

The previous prime is 76537121461. The next prime is 76537121483. The reversal of 76537121472 is 27412173567.

76537121472 is a `hidden beast` number, since 7 + 6 + 53 + 7 + 121 + 472 = 666.

It is an interprime number because it is at equal distance from previous prime (76537121461) and next prime (76537121483).

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15557029 + ... + 15561947.

Almost surely, 2^76537121472 is an apocalyptic number.

76537121472 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 76537121472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133345854720).

76537121472 is an abundant number, since it is smaller than the sum of its proper divisors (190154587968).

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

76537121472 is a wasteful number, since it uses less digits than its factorization.

76537121472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5188 (or 5175 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The spelling of 76537121472 in words is "seventy-six billion, five hundred thirty-seven million, one hundred twenty-one thousand, four hundred seventy-two".