4375760616000 has 560 divisors, whose sum is σ = 16315735468032. Its totient is φ = 1157659776000.

The previous prime is 4375760615983. The next prime is 4375760616001. The reversal of 4375760616000 is 6160675734.

4375760616000 is a `hidden beast` number, since 4 + 37 + 5 + 7 + 6 + 0 + 6 + 1 + 600 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4375760616001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 82269415 + ... + 82322585.

Almost surely, 2^{4375760616000} is an apocalyptic number.

4375760616000 is a gapful number since it is divisible by the number (40) 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 4375760616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8157867734016).

4375760616000 is an abundant number, since it is smaller than the sum of its proper divisors (11939974852032).

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

4375760616000 is a wasteful number, since it uses less digits than its factorization.

4375760616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53337 (or 53308 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 4375760616000 in words is "four trillion, three hundred seventy-five billion, seven hundred sixty million, six hundred sixteen thousand".