70923460608000 has 4896 divisors, whose sum is σ = 354750552688896. Its totient is φ = 13164871680000.

The previous prime is 70923460607977. The next prime is 70923460608041. The reversal of 70923460608000 is 80606432907.

70923460608000 is a `hidden beast` number, since 7 + 0 + 9 + 2 + 34 + 6 + 0 + 608 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×70923460608000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2287853567985 + ... + 2287853568015.

Almost surely, 2^{70923460608000} is an apocalyptic number.

70923460608000 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 70923460608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177375276344448).

70923460608000 is an abundant number, since it is smaller than the sum of its proper divisors (283827092080896).

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

70923460608000 is a wasteful number, since it uses less digits than its factorization.

70923460608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 70923460608000 in words is "seventy trillion, nine hundred twenty-three billion, four hundred sixty million, six hundred eight thousand".