1975672950720 has 448 divisors, whose sum is σ = 7631011814400. Its totient is φ = 423005552640.

The previous prime is 1975672950653. The next prime is 1975672950733. The reversal of 1975672950720 is 270592765791.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11276590 + ... + 11450450.

Almost surely, 2^{1975672950720} is an apocalyptic number.

1975672950720 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 1975672950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3815505907200).

1975672950720 is an abundant number, since it is smaller than the sum of its proper divisors (5655338863680).

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

1975672950720 is a wasteful number, since it uses less digits than its factorization.

1975672950720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173996 (or 173986 counting only the distinct ones).

The product of its (nonzero) digits is 16669800, while the sum is 60.

The spelling of 1975672950720 in words is "one trillion, nine hundred seventy-five billion, six hundred seventy-two million, nine hundred fifty thousand, seven hundred twenty".