70145006400 has 336 divisors, whose sum is σ = 292235006080. Its totient is φ = 16033075200.

The previous prime is 70145006377. The next prime is 70145006431. The reversal of 70145006400 is 460054107.

70145006400 is a `hidden beast` number, since 7 + 0 + 14 + 5 + 0 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186420 + ... + 418380.

Almost surely, 2^70145006400 is an apocalyptic number.

70145006400 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 70145006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146117503040).

70145006400 is an abundant number, since it is smaller than the sum of its proper divisors (222089999680).

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

70145006400 is a wasteful number, since it uses less digits than its factorization.

70145006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231999 (or 231978 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 70145006400 in words is "seventy billion, one hundred forty-five million, six thousand, four hundred".