7146834240 has 1008 divisors, whose sum is σ = 30521940480. Its totient is φ = 1408942080.

The previous prime is 7146834203. The next prime is 7146834251. The reversal of 7146834240 is 424386417.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 230543025 + ... + 230543055.

Almost surely, 2^7146834240 is an apocalyptic number.

7146834240 is a gapful number since it is divisible by the number (70) 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 7146834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15260970240).

7146834240 is an abundant number, since it is smaller than the sum of its proper divisors (23375106240).

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

7146834240 is a wasteful number, since it uses less digits than its factorization.

7146834240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 7146834240 is about 84538.9510225908. The cubic root of 7146834240 is about 1926.2141541464.

The spelling of 7146834240 in words is "seven billion, one hundred forty-six million, eight hundred thirty-four thousand, two hundred forty".