1961767413504 has 288 divisors, whose sum is σ = 5930105126400. Its totient is φ = 647554673664.

The previous prime is 1961767413467. The next prime is 1961767413563. The reversal of 1961767413504 is 4053147671691.

It is a happy number.

1961767413504 is a `hidden beast` number, since 1 + 9 + 6 + 176 + 7 + 413 + 50 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57649807 + ... + 57683825.

It is an arithmetic number, because the mean of its divisors is an integer number (20590642800).

Almost surely, 2^{1961767413504} 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 1961767413504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2965052563200).

1961767413504 is an abundant number, since it is smaller than the sum of its proper divisors (3968337712896).

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

1961767413504 is an frugal number, since it uses more digits than its factorization.

1961767413504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34159 (or 34127 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 1961767413504 in words is "one trillion, nine hundred sixty-one billion, seven hundred sixty-seven million, four hundred thirteen thousand, five hundred four".