1974645061200 has 1080 divisors, whose sum is σ = 8119062277560. Its totient is φ = 443068416000.

The previous prime is 1974645061199. The next prime is 1974645061201. The reversal of 1974645061200 is 21605464791.

1974645061200 is a `hidden beast` number, since 1 + 9 + 74 + 6 + 450 + 6 + 120 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1974645061199) and next prime (1974645061201).

It can be written as a sum of positive squares in 12 ways, for example, as 665020944 + 1973980040256 = 25788^2 + 1404984^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1974645061201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2440846396 + ... + 2440847204.

It is an arithmetic number, because the mean of its divisors is an integer number (7517650257).

Almost surely, 2^{1974645061200} is an apocalyptic number.

1974645061200 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 1974645061200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4059531138780).

1974645061200 is an abundant number, since it is smaller than the sum of its proper divisors (6144417216360).

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

1974645061200 is a wasteful number, since it uses less digits than its factorization.

1974645061200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1974645061200 in words is "one trillion, nine hundred seventy-four billion, six hundred forty-five million, sixty-one thousand, two hundred".