7385905152 has 72 divisors (see below), whose sum is σ = 21331903320. Its totient is φ = 2461962240.

The previous prime is 7385905141. The next prime is 7385905181. The reversal of 7385905152 is 2515095837.

7385905152 is a `hidden beast` number, since 7 + 3 + 8 + 590 + 5 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 7385905098 and 7385905107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 181924 + ... + 218787.

It is an arithmetic number, because the mean of its divisors is an integer number (296276435).

Almost surely, 2^7385905152 is an apocalyptic number.

7385905152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7385905152 is an abundant number, since it is smaller than the sum of its proper divisors (13945998168).

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

7385905152 is a wasteful number, since it uses less digits than its factorization.

7385905152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400739 (or 400716 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 7385905152 is about 85941.2889826537. The cubic root of 7385905152 is about 1947.4571414934.

The spelling of 7385905152 in words is "seven billion, three hundred eighty-five million, nine hundred five thousand, one hundred fifty-two".