5672190434400 has 1080 divisors, whose sum is σ = 24485372992080. Its totient is φ = 1251709562880.

The previous prime is 5672190434389. The next prime is 5672190434419. The reversal of 5672190434400 is 44340912765.

5672190434400 is a `hidden beast` number, since 5 + 67 + 21 + 90 + 43 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 381470166 + ... + 381485034.

Almost surely, 2^{5672190434400} is an apocalyptic number.

5672190434400 is a gapful number since it is divisible by the number (50) 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 5672190434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12242686496040).

5672190434400 is an abundant number, since it is smaller than the sum of its proper divisors (18813182557680).

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

5672190434400 is a wasteful number, since it uses less digits than its factorization.

5672190434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14966 (or 14915 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 5672190434400 in words is "five trillion, six hundred seventy-two billion, one hundred ninety million, four hundred thirty-four thousand, four hundred".