76093385472 has 432 divisors, whose sum is σ = 255739131648. Its totient is φ = 22389903360.

The previous prime is 76093385429. The next prime is 76093385477. The reversal of 76093385472 is 27458339067.

76093385472 is a `hidden beast` number, since 7 + 6 + 0 + 93 + 3 + 8 + 547 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (76093385477) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18598147 + ... + 18602237.

Almost surely, 2^76093385472 is an apocalyptic number.

76093385472 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 76093385472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127869565824).

76093385472 is an abundant number, since it is smaller than the sum of its proper divisors (179645746176).

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

76093385472 is a wasteful number, since it uses less digits than its factorization.

76093385472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4158 (or 4132 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 76093385472 in words is "seventy-six billion, ninety-three million, three hundred eighty-five thousand, four hundred seventy-two".