70125834240 has 1456 divisors, whose sum is σ = 319721072256. Its totient is φ = 14332723200.

The previous prime is 70125834217. The next prime is 70125834263. The reversal of 70125834240 is 4243852107.

It is a happy number.

70125834240 is a `hidden beast` number, since 70 + 1 + 2 + 583 + 4 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (70125834217) and next prime (70125834263).

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 = 70125834195 and 70125834204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1149603810 + ... + 1149603870.

Almost surely, 2^70125834240 is an apocalyptic number.

70125834240 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 70125834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159860536128).

70125834240 is an abundant number, since it is smaller than the sum of its proper divisors (249595238016).

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

70125834240 is an equidigital number, since it uses as much as digits as its factorization.

70125834240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 70125834240 in words is "seventy billion, one hundred twenty-five million, eight hundred thirty-four thousand, two hundred forty".