761422306216500 has 576 divisors, whose sum is σ = 2584657763880192. Its totient is φ = 188015855616000.

The previous prime is 761422306216487. The next prime is 761422306216519. The reversal of 761422306216500 is 5612603224167.

761422306216500 is a `hidden beast` number, since 7 + 6 + 1 + 42 + 2 + 30 + 62 + 16 + 500 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1529980707 + ... + 1530478293.

It is an arithmetic number, because the mean of its divisors is an integer number (4487253062292).

Almost surely, 2^{761422306216500} 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 761422306216500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292328881940096).

761422306216500 is an abundant number, since it is smaller than the sum of its proper divisors (1823235457663692).

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

761422306216500 is a wasteful number, since it uses less digits than its factorization.

761422306216500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497953 (or 497938 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 761422306216500 in words is "seven hundred sixty-one trillion, four hundred twenty-two billion, three hundred six million, two hundred sixteen thousand, five hundred".