7738537201920 has 2880 divisors, whose sum is σ = 35268956405760. Its totient is φ = 1580182732800.

The previous prime is 7738537201823. The next prime is 7738537201937. The reversal of 7738537201920 is 291027358377.

7738537201920 is a `hidden beast` number, since 7 + 7 + 3 + 85 + 372 + 0 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 319 ways as a sum of consecutive naturals, for example, 18381323310 + ... + 18381323730.

Almost surely, 2^{7738537201920} is an apocalyptic number.

7738537201920 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 7738537201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17634478202880).

7738537201920 is an abundant number, since it is smaller than the sum of its proper divisors (27530419203840).

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

7738537201920 is a wasteful number, since it uses less digits than its factorization.

7738537201920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 7738537201920 in words is "seven trillion, seven hundred thirty-eight billion, five hundred thirty-seven million, two hundred one thousand, nine hundred twenty".