6940153440 has 768 divisors, whose sum is σ = 28687841280. Its totient is φ = 1561190400.

The previous prime is 6940153417. The next prime is 6940153447. The reversal of 6940153440 is 443510496.

6940153440 is a `hidden beast` number, since 69 + 4 + 0 + 153 + 440 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6940153395 and 6940153404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6940153447) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 97748605 + ... + 97748675.

It is an arithmetic number, because the mean of its divisors is an integer number (37353960).

Almost surely, 2^6940153440 is an apocalyptic number.

6940153440 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 6940153440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14343920640).

6940153440 is an abundant number, since it is smaller than the sum of its proper divisors (21747687840).

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

6940153440 is a wasteful number, since it uses less digits than its factorization.

6940153440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6940153440 is about 83307.5833282901. The cubic root of 6940153440 is about 1907.4640320454.

The spelling of 6940153440 in words is "six billion, nine hundred forty million, one hundred fifty-three thousand, four hundred forty".