1961601020064 has 240 divisors, whose sum is σ = 6610857821568. Its totient is φ = 558952939008.

The previous prime is 1961601020063. The next prime is 1961601020101. The reversal of 1961601020064 is 4600201061691.

1961601020064 is a `hidden beast` number, since 1 + 9 + 616 + 0 + 10 + 20 + 0 + 6 + 4 = 666.

It is a super-2 number, since 2×1961601020064² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1961601020063) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6622789 + ... + 6912635.

Almost surely, 2^{1961601020064} is an apocalyptic number.

1961601020064 is a gapful number since it is divisible by the number (14) 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 1961601020064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3305428910784).

1961601020064 is an abundant number, since it is smaller than the sum of its proper divisors (4649256801504).

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

1961601020064 is a wasteful number, since it uses less digits than its factorization.

1961601020064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290249 (or 290232 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 1961601020064 in words is "one trillion, nine hundred sixty-one billion, six hundred one million, twenty thousand, sixty-four".