1204648636800 has 384 divisors, whose sum is σ = 4602340074240. Its totient is φ = 271237570560.

The previous prime is 1204648636787. The next prime is 1204648636813. The reversal of 1204648636800 is 86368464021.

It is an interprime number because it is at equal distance from previous prime (1204648636787) and next prime (1204648636813).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1204648636800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4368622 + ... + 4636178.

It is an arithmetic number, because the mean of its divisors is an integer number (11985260610).

Almost surely, 2^{1204648636800} is an apocalyptic number.

1204648636800 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 1204648636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2301170037120).

1204648636800 is an abundant number, since it is smaller than the sum of its proper divisors (3397691437440).

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

1204648636800 is a wasteful number, since it uses less digits than its factorization.

1204648636800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267658 (or 267641 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 1204648636800 in words is "one trillion, two hundred four billion, six hundred forty-eight million, six hundred thirty-six thousand, eight hundred".