761489341056 has 192 divisors, whose sum is σ = 2279197327680. Its totient is φ = 253073092608.

The previous prime is 761489341043. The next prime is 761489341069. The reversal of 761489341056 is 650143984167.

761489341056 is a `hidden beast` number, since 7 + 614 + 8 + 9 + 3 + 4 + 10 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (761489341043) and next prime (761489341069).

It is a tau number, because it is divible by the number of its divisors (192).

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 = 761489340993 and 761489341011.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10445725 + ... + 10518371.

It is an arithmetic number, because the mean of its divisors is an integer number (11870819415).

Almost surely, 2^761489341056 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 761489341056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139598663840).

761489341056 is an abundant number, since it is smaller than the sum of its proper divisors (1517707986624).

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

761489341056 is an equidigital number, since it uses as much as digits as its factorization.

761489341056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73013 (or 72989 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 761489341056 in words is "seven hundred sixty-one billion, four hundred eighty-nine million, three hundred forty-one thousand, fifty-six".