6404964749520 has 320 divisors, whose sum is σ = 21079314837504. Its totient is φ = 1605443051520.

The previous prime is 6404964749501. The next prime is 6404964749551. The reversal of 6404964749520 is 259474694046.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120292824 + ... + 120346056.

Almost surely, 2^{6404964749520} is an apocalyptic number.

6404964749520 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 6404964749520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10539657418752).

6404964749520 is an abundant number, since it is smaller than the sum of its proper divisors (14674350087984).

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

6404964749520 is a wasteful number, since it uses less digits than its factorization.

6404964749520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53650 (or 53644 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 60.

The spelling of 6404964749520 in words is "six trillion, four hundred four billion, nine hundred sixty-four million, seven hundred forty-nine thousand, five hundred twenty".