70763341824 has 768 divisors, whose sum is σ = 253158796800. Its totient is φ = 19349176320.

The previous prime is 70763341751. The next prime is 70763341841. The reversal of 70763341824 is 42814336707.

70763341824 is a `hidden beast` number, since 7 + 0 + 7 + 633 + 4 + 1 + 8 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×70763341824² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 70763341824.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1160054754 + ... + 1160054814.

It is an arithmetic number, because the mean of its divisors is an integer number (329633850).

Almost surely, 2^70763341824 is an apocalyptic number.

70763341824 is a gapful number since it is divisible by the number (74) 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 70763341824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126579398400).

70763341824 is an abundant number, since it is smaller than the sum of its proper divisors (182395454976).

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

70763341824 is an frugal number, since it uses more digits than its factorization.

70763341824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

It can be divided in two parts, 7076 and 3341824, that added together give a square (3348900 = 1830²).

The spelling of 70763341824 in words is "seventy billion, seven hundred sixty-three million, three hundred forty-one thousand, eight hundred twenty-four".