70349924400 has 960 divisors, whose sum is σ = 285772185600. Its totient is φ = 14432256000.

The previous prime is 70349924387. The next prime is 70349924423. The reversal of 70349924400 is 442994307.

It is a super-2 number, since 2×70349924400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 291908280 + ... + 291908520.

It is an arithmetic number, because the mean of its divisors is an integer number (297679360).

Almost surely, 2^70349924400 is an apocalyptic number.

70349924400 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 70349924400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142886092800).

70349924400 is an abundant number, since it is smaller than the sum of its proper divisors (215422261200).

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

70349924400 is a wasteful number, since it uses less digits than its factorization.

70349924400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 70349924400 in words is "seventy billion, three hundred forty-nine million, nine hundred twenty-four thousand, four hundred".