6261838835200 has 720 divisors, whose sum is σ = 17685661188096. Its totient is φ = 2191911321600.

The previous prime is 6261838835173. The next prime is 6261838835227. The reversal of 6261838835200 is 25388381626.

It is an interprime number because it is at equal distance from previous prime (6261838835173) and next prime (6261838835227).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6318706705 + ... + 6318707695.

Almost surely, 2^{6261838835200} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6261838835200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8842830594048).

6261838835200 is an abundant number, since it is smaller than the sum of its proper divisors (11423822352896).

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

6261838835200 is a wasteful number, since it uses less digits than its factorization.

6261838835200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 52.

The spelling of 6261838835200 in words is "six trillion, two hundred sixty-one billion, eight hundred thirty-eight million, eight hundred thirty-five thousand, two hundred".