5693725440 has 1152 divisors, whose sum is σ = 24724224000. Its totient is φ = 1226244096.

The previous prime is 5693725399. The next prime is 5693725481. The reversal of 5693725440 is 445273965.

5693725440 is a `hidden beast` number, since 56 + 93 + 72 + 5 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (5693725399) and next prime (5693725481).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×5693725440² = 64837018772206387200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 196335346 + ... + 196335374.

It is an arithmetic number, because the mean of its divisors is an integer number (21462000).

Almost surely, 2^5693725440 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 5693725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12362112000).

5693725440 is an abundant number, since it is smaller than the sum of its proper divisors (19030498560).

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

5693725440 is a wasteful number, since it uses less digits than its factorization.

5693725440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 5693725440 is about 75456.7786219369. The cubic root of 5693725440 is about 1785.6602881714.

The spelling of 5693725440 in words is "five billion, six hundred ninety-three million, seven hundred twenty-five thousand, four hundred forty".