7385473105920 has 2160 divisors, whose sum is σ = 32937359040768. Its totient is φ = 1547934105600.

The previous prime is 7385473105853. The next prime is 7385473105937. The reversal of 7385473105920 is 295013745837.

7385473105920 is a `hidden beast` number, since 7 + 3 + 8 + 5 + 47 + 3 + 1 + 0 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×7385473105920² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48910417845 + ... + 48910417995.

Almost surely, 2^{7385473105920} is an apocalyptic number.

7385473105920 is a gapful number since it is divisible by the number (70) 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 7385473105920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16468679520384).

7385473105920 is an abundant number, since it is smaller than the sum of its proper divisors (25551885934848).

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

7385473105920 is an frugal number, since it uses more digits than its factorization.

7385473105920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 7385473105920 in words is "seven trillion, three hundred eighty-five billion, four hundred seventy-three million, one hundred five thousand, nine hundred twenty".