6553642472400 has 120 divisors (see below), whose sum is σ = 20994071409504. Its totient is φ = 1747590540800.

The previous prime is 6553642472381. The next prime is 6553642472431. The reversal of 6553642472400 is 42742463556.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 6553642472400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81736330 + ... + 81816470.

Almost surely, 2^{6553642472400} is an apocalyptic number.

6553642472400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6553642472400 is an abundant number, since it is smaller than the sum of its proper divisors (14440428937104).

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

6553642472400 is a wasteful number, since it uses less digits than its factorization.

6553642472400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148309 (or 148298 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 48.

The spelling of 6553642472400 in words is "six trillion, five hundred fifty-three billion, six hundred forty-two million, four hundred seventy-two thousand, four hundred".