76612354560 has 720 divisors, whose sum is σ = 312920150400. Its totient is φ = 17269604352.

The previous prime is 76612354529. The next prime is 76612354561. The reversal of 76612354560 is 6545321667.

76612354560 is a `hidden beast` number, since 7 + 6 + 61 + 23 + 5 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×76612354560³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (76612354561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 89187411 + ... + 89188269.

It is an arithmetic number, because the mean of its divisors is an integer number (434611320).

Almost surely, 2^76612354560 is an apocalyptic number.

76612354560 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 76612354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156460075200).

76612354560 is an abundant number, since it is smaller than the sum of its proper divisors (236307795840).

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

76612354560 is a wasteful number, since it uses less digits than its factorization.

76612354560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 76612354560 in words is "seventy-six billion, six hundred twelve million, three hundred fifty-four thousand, five hundred sixty".