70753805640 has 512 divisors, whose sum is σ = 277995110400. Its totient is φ = 15671854080.

The previous prime is 70753805621. The next prime is 70753805653. The reversal of 70753805640 is 4650835707.

70753805640 is a `hidden beast` number, since 7 + 0 + 7 + 5 + 3 + 80 + 564 + 0 = 666.

It is a super-2 number, since 2×70753805640² (a number of 23 digits) 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, 38018310 + ... + 38020170.

It is an arithmetic number, because the mean of its divisors is an integer number (542959200).

Almost surely, 2^70753805640 is an apocalyptic number.

70753805640 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 70753805640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138997555200).

70753805640 is an abundant number, since it is smaller than the sum of its proper divisors (207241304760).

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

70753805640 is a wasteful number, since it uses less digits than its factorization.

70753805640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 70753805640 in words is "seventy billion, seven hundred fifty-three million, eight hundred five thousand, six hundred forty".