1973625840 has 60 divisors (see below), whose sum is σ = 6628095864. Its totient is φ = 526300032.

The previous prime is 1973625799. The next prime is 1973625853. The reversal of 1973625840 is 485263791.

1973625840 is a `hidden beast` number, since 1 + 9 + 7 + 3 + 62 + 584 + 0 = 666.

1973625840 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

1973625840 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1369854 + ... + 1371293.

It is a 2-persistent number, because it is pandigital, and so is 2⋅1973625840 = 3947251680, but 3⋅1973625840 = 5920877520 is not.

Almost surely, 2^1973625840 is an apocalyptic number.

1973625840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1973625840 is an abundant number, since it is smaller than the sum of its proper divisors (4654470024).

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

1973625840 is a wasteful number, since it uses less digits than its factorization.

1973625840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741166 (or 2741157 counting only the distinct ones).

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

The square root of 1973625840 is about 44425.5088884753. The cubic root of 1973625840 is about 1254.3582990560.

The spelling of 1973625840 in words is "one billion, nine hundred seventy-three million, six hundred twenty-five thousand, eight hundred forty".