6479414370000 has 2000 divisors, whose sum is σ = 27777578579520. Its totient is φ = 1445558400000.

The previous prime is 6479414369947. The next prime is 6479414370019. The reversal of 6479414370000 is 734149746.

It is a tau number, because it is divible by the number of its divisors (2000).

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 polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 19575269835 + ... + 19575270165.

Almost surely, 2^{6479414370000} is an apocalyptic number.

6479414370000 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 6479414370000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13888789289760).

6479414370000 is an abundant number, since it is smaller than the sum of its proper divisors (21298164209520).

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

6479414370000 is a wasteful number, since it uses less digits than its factorization.

6479414370000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 6479414370000 in words is "six trillion, four hundred seventy-nine billion, four hundred fourteen million, three hundred seventy thousand".