761649342480 has 240 divisors, whose sum is σ = 2756911213056. Its totient is φ = 187327779840.

The previous prime is 761649342463. The next prime is 761649342497. The reversal of 761649342480 is 84243946167.

761649342480 is a `hidden beast` number, since 7 + 61 + 64 + 9 + 3 + 42 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (761649342463) and next prime (761649342497).

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11489109 + ... + 11555211.

Almost surely, 2^761649342480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 761649342480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378455606528).

761649342480 is an abundant number, since it is smaller than the sum of its proper divisors (1995261870576).

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

761649342480 is a wasteful number, since it uses less digits than its factorization.

761649342480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67366 (or 67357 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 761649342480 in words is "seven hundred sixty-one billion, six hundred forty-nine million, three hundred forty-two thousand, four hundred eighty".