6258698798400 has 840 divisors, whose sum is σ = 23227441293056. Its totient is φ = 1652966092800.

The previous prime is 6258698798383. The next prime is 6258698798519. The reversal of 6258698798400 is 48978968526.

6258698798400 is a `hidden beast` number, since 6 + 2 + 58 + 6 + 9 + 87 + 98 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8608938837 + ... + 8608939563.

Almost surely, 2^{6258698798400} is an apocalyptic number.

6258698798400 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 6258698798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11613720646528).

6258698798400 is an abundant number, since it is smaller than the sum of its proper divisors (16968742494656).

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

6258698798400 is a wasteful number, since it uses less digits than its factorization.

6258698798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 6258698798400 in words is "six trillion, two hundred fifty-eight billion, six hundred ninety-eight million, seven hundred ninety-eight thousand, four hundred".