647213477040000 has 1600 divisors, whose sum is σ = 2595319731090240. Its totient is φ = 159109650432000.

The previous prime is 647213477039783. The next prime is 647213477040061. The reversal of 647213477040000 is 40774312746.

647213477040000 is a `hidden beast` number, since 6 + 47 + 2 + 134 + 7 + 70 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 71856715497 + ... + 71856724503.

Almost surely, 2^{647213477040000} is an apocalyptic number.

647213477040000 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 647213477040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297659865545120).

647213477040000 is an abundant number, since it is smaller than the sum of its proper divisors (1948106254050240).

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

647213477040000 is an equidigital number, since it uses as much as digits as its factorization.

647213477040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9919 (or 9883 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 647213477040000 in words is "six hundred forty-seven trillion, two hundred thirteen billion, four hundred seventy-seven million, forty thousand".