70995645050400 has 1152 divisors, whose sum is σ = 309960161280000. Its totient is φ = 15338850508800.

The previous prime is 70995645050381. The next prime is 70995645050401. The reversal of 70995645050400 is 405054659907.

70995645050400 is a `hidden beast` number, since 7 + 0 + 9 + 95 + 6 + 4 + 505 + 0 + 40 + 0 = 666.

It is a super-3 number, since 3×70995645050400³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (70995645050401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 201373476 + ... + 201725724.

It is an arithmetic number, because the mean of its divisors is an integer number (269062640000).

Almost surely, 2^{70995645050400} is an apocalyptic number.

70995645050400 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 70995645050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154980080640000).

70995645050400 is an abundant number, since it is smaller than the sum of its proper divisors (238964516229600).

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

70995645050400 is a wasteful number, since it uses less digits than its factorization.

70995645050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352359 (or 352340 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 70995645050400 in words is "seventy trillion, nine hundred ninety-five billion, six hundred forty-five million, fifty thousand, four hundred".