76690450650240 has 640 divisors, whose sum is σ = 319388349456000. Its totient is φ = 17529241798656.

The previous prime is 76690450650211. The next prime is 76690450650241. The reversal of 76690450650240 is 4205605409667.

76690450650240 is a `hidden beast` number, since 7 + 6 + 6 + 90 + 4 + 5 + 0 + 6 + 502 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 (76690450650241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15624607 + ... + 19937633.

It is an arithmetic number, because the mean of its divisors is an integer number (499044296025).

Almost surely, 2^{76690450650240} is an apocalyptic number.

76690450650240 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 76690450650240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159694174728000).

76690450650240 is an abundant number, since it is smaller than the sum of its proper divisors (242697898805760).

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

76690450650240 is an equidigital number, since it uses as much as digits as its factorization.

76690450650240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4313079 (or 4313044 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 76690450650240 in words is "seventy-six trillion, six hundred ninety billion, four hundred fifty million, six hundred fifty thousand, two hundred forty".