6900025532400 has 3780 divisors, whose sum is σ = 34335928698456. Its totient is φ = 1319170406400.

The previous prime is 6900025532357. The next prime is 6900025532401. The reversal of 6900025532400 is 42355200096.

6900025532400 is a `hidden beast` number, since 69 + 0 + 0 + 0 + 2 + 553 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3780).

It is a super-2 number, since 2×6900025532400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6900025532401) by changing a digit.

It is a polite number, since it can be written in 755 ways as a sum of consecutive naturals, for example, 22475653047 + ... + 22475653353.

Almost surely, 2^{6900025532400} is an apocalyptic number.

6900025532400 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 6900025532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17167964349228).

6900025532400 is an abundant number, since it is smaller than the sum of its proper divisors (27435903166056).

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

6900025532400 is a wasteful number, since it uses less digits than its factorization.

6900025532400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 6900025532400 in words is "six trillion, nine hundred billion, twenty-five million, five hundred thirty-two thousand, four hundred".