2187668760480 has 576 divisors, whose sum is σ = 8744978930688. Its totient is φ = 487628144640.

The previous prime is 2187668760469. The next prime is 2187668760491. The reversal of 2187668760480 is 840678667812.

2187668760480 is a `hidden beast` number, since 2 + 1 + 8 + 76 + 6 + 87 + 6 + 0 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (2187668760469) and next prime (2187668760491).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133118344 + ... + 133134776.

It is an arithmetic number, because the mean of its divisors is an integer number (15182255088).

Almost surely, 2^{2187668760480} is an apocalyptic number.

2187668760480 is a gapful number since it is divisible by the number (20) 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 2187668760480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4372489465344).

2187668760480 is an abundant number, since it is smaller than the sum of its proper divisors (6557310170208).

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

2187668760480 is a wasteful number, since it uses less digits than its factorization.

2187668760480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16789 (or 16778 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 2187668760480 in words is "two trillion, one hundred eighty-seven billion, six hundred sixty-eight million, seven hundred sixty thousand, four hundred eighty".