64471742121600 has 1152 divisors, whose sum is σ = 267293856473280. Its totient is φ = 15207019315200.

The previous prime is 64471742121583. The next prime is 64471742121649. The reversal of 64471742121600 is 612124717446.

64471742121600 is a `hidden beast` number, since 6 + 4 + 4 + 7 + 1 + 7 + 421 + 216 + 0 + 0 = 666.

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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 316381344 + ... + 316585056.

Almost surely, 2^{64471742121600} is an apocalyptic number.

64471742121600 is a gapful number since it is divisible by the number (60) 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 64471742121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133646928236640).

64471742121600 is an abundant number, since it is smaller than the sum of its proper divisors (202822114351680).

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

64471742121600 is a wasteful number, since it uses less digits than its factorization.

64471742121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203800 (or 203771 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 64471742121600 in words is "sixty-four trillion, four hundred seventy-one billion, seven hundred forty-two million, one hundred twenty-one thousand, six hundred".