6261998206464 has 960 divisors, whose sum is σ = 25048564789248. Its totient is φ = 1452913459200.

The previous prime is 6261998206421. The next prime is 6261998206561. The reversal of 6261998206464 is 4646028991626.

6261998206464 is a `hidden beast` number, since 6 + 2 + 6 + 1 + 99 + 82 + 0 + 6 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142968952 + ... + 143012744.

Almost surely, 2^{6261998206464} is an apocalyptic number.

6261998206464 is a gapful number since it is divisible by the number (64) 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 6261998206464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12524282394624).

6261998206464 is an abundant number, since it is smaller than the sum of its proper divisors (18786566582784).

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

6261998206464 is a wasteful number, since it uses less digits than its factorization.

6261998206464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43879 (or 43860 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 6261998206464 in words is "six trillion, two hundred sixty-one billion, nine hundred ninety-eight million, two hundred six thousand, four hundred sixty-four".