1463210028720 has 360 divisors, whose sum is σ = 5694560904240. Its totient is φ = 333851320320.

The previous prime is 1463210028697. The next prime is 1463210028739. The reversal of 1463210028720 is 278200123641.

It is a happy number.

1463210028720 is a `hidden beast` number, since 1 + 4 + 632 + 10 + 0 + 2 + 8 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1969246 + ... + 2608514.

It is an arithmetic number, because the mean of its divisors is an integer number (15818224734).

Almost surely, 2^{1463210028720} is an apocalyptic number.

1463210028720 is a gapful number since it is divisible by the number (10) 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 1463210028720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2847280452120).

1463210028720 is an abundant number, since it is smaller than the sum of its proper divisors (4231350875520).

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

1463210028720 is a wasteful number, since it uses less digits than its factorization.

1463210028720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639333 (or 639307 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 1463210028720 in words is "one trillion, four hundred sixty-three billion, two hundred ten million, twenty-eight thousand, seven hundred twenty".