70197438326400 has 6144 divisors, whose sum is σ = 348409700352000. Its totient is φ = 13488685056000.

The previous prime is 70197438326399. The next prime is 70197438326501. The reversal of 70197438326400 is 462383479107.

70197438326400 is a `hidden beast` number, since 7 + 0 + 197 + 43 + 8 + 3 + 2 + 6 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 723684931152 + ... + 723684931248.

It is an arithmetic number, because the mean of its divisors is an integer number (56707308000).

Almost surely, 2^{70197438326400} is an apocalyptic number.

70197438326400 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 70197438326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174204850176000).

70197438326400 is an abundant number, since it is smaller than the sum of its proper divisors (278212262025600).

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

70197438326400 is a wasteful number, since it uses less digits than its factorization.

70197438326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 70197438326400 in words is "seventy trillion, one hundred ninety-seven billion, four hundred thirty-eight million, three hundred twenty-six thousand, four hundred".