1954236073680 has 1120 divisors, whose sum is σ = 7672368936960. Its totient is φ = 458597376000.

The previous prime is 1954236073627. The next prime is 1954236073681. The reversal of 1954236073680 is 863706324591.

1954236073680 is a `hidden beast` number, since 1 + 9 + 5 + 4 + 23 + 607 + 3 + 6 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1954236073681) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 5023742926 + ... + 5023743314.

It is an arithmetic number, because the mean of its divisors is an integer number (6850329408).

It is a 1-persistent number, because it is pandigital, but 2⋅1954236073680 = 3908472147360 is not.

Almost surely, 2^{1954236073680} is an apocalyptic number.

1954236073680 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 1954236073680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3836184468480).

1954236073680 is an abundant number, since it is smaller than the sum of its proper divisors (5718132863280).

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

1954236073680 is a wasteful number, since it uses less digits than its factorization.

1954236073680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 1954236073680 in words is "one trillion, nine hundred fifty-four billion, two hundred thirty-six million, seventy-three thousand, six hundred eighty".