761996953440 has 288 divisors, whose sum is σ = 2623115529216. Its totient is φ = 201423283200.

The previous prime is 761996953433. The next prime is 761996953483. The reversal of 761996953440 is 44359699167.

761996953440 is a `hidden beast` number, since 7 + 6 + 1 + 9 + 96 + 9 + 534 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 109368837 + ... + 109375803.

It is an arithmetic number, because the mean of its divisors is an integer number (9108040032).

Almost surely, 2^761996953440 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 761996953440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311557764608).

761996953440 is an abundant number, since it is smaller than the sum of its proper divisors (1861118575776).

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

761996953440 is a wasteful number, since it uses less digits than its factorization.

761996953440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7642 (or 7631 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 761996953440 in words is "seven hundred sixty-one billion, nine hundred ninety-six million, nine hundred fifty-three thousand, four hundred forty".