1964811696120 has 576 divisors, whose sum is σ = 8295897748320. Its totient is φ = 414552370176.

The previous prime is 1964811696091. The next prime is 1964811696139. The reversal of 1964811696120 is 216961184691.

1964811696120 is a `hidden beast` number, since 1 + 9 + 6 + 4 + 8 + 1 + 16 + 9 + 612 + 0 = 666.

It is a super-3 number, since 3×1964811696120³ (a number of 38 digits) contains 333 as substring.

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 143 ways as a sum of consecutive naturals, for example, 6032974 + ... + 6350306.

Almost surely, 2^{1964811696120} is an apocalyptic number.

1964811696120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1964811696120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4147948874160).

1964811696120 is an abundant number, since it is smaller than the sum of its proper divisors (6331086052200).

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

1964811696120 is a wasteful number, since it uses less digits than its factorization.

1964811696120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317386 (or 317363 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 1964811696120 in words is "one trillion, nine hundred sixty-four billion, eight hundred eleven million, six hundred ninety-six thousand, one hundred twenty".