4377868369920 has 1152 divisors, whose sum is σ = 16814732820480. Its totient is φ = 1077537669120.

The previous prime is 4377868369907. The next prime is 4377868369933. The reversal of 4377868369920 is 299638687734.

4377868369920 is a `hidden beast` number, since 437 + 7 + 8 + 6 + 83 + 6 + 99 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (4377868369907) and next prime (4377868369933).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12616335187 + ... + 12616335533.

It is an arithmetic number, because the mean of its divisors is an integer number (14596122240).

Almost surely, 2^{4377868369920} is an apocalyptic number.

4377868369920 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 4377868369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8407366410240).

4377868369920 is an abundant number, since it is smaller than the sum of its proper divisors (12436864450560).

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

4377868369920 is an equidigital number, since it uses as much as digits as its factorization.

4377868369920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 72.

The spelling of 4377868369920 in words is "four trillion, three hundred seventy-seven billion, eight hundred sixty-eight million, three hundred sixty-nine thousand, nine hundred twenty".