76049487360 has 1200 divisors, whose sum is σ = 342960111648. Its totient is φ = 15765995520.

The previous prime is 76049487341. The next prime is 76049487383. The reversal of 76049487360 is 6378494067.

It is a happy number.

76049487360 is a `hidden beast` number, since 7 + 60 + 49 + 487 + 3 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 76049487297 and 76049487306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 175633704 + ... + 175634136.

Almost surely, 2^76049487360 is an apocalyptic number.

76049487360 is a gapful number since it is divisible by the number (70) 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 76049487360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171480055824).

76049487360 is an abundant number, since it is smaller than the sum of its proper divisors (266910624288).

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

76049487360 is a wasteful number, since it uses less digits than its factorization.

76049487360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 76049487360 in words is "seventy-six billion, forty-nine million, four hundred eighty-seven thousand, three hundred sixty".