70820467200 has 720 divisors, whose sum is σ = 299102808576. Its totient is φ = 15659827200.

The previous prime is 70820467183. The next prime is 70820467241. The reversal of 70820467200 is 276402807.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24996984 + ... + 24999816.

Almost surely, 2^70820467200 is an apocalyptic number.

70820467200 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 70820467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149551404288).

70820467200 is an abundant number, since it is smaller than the sum of its proper divisors (228282341376).

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

70820467200 is a wasteful number, since it uses less digits than its factorization.

70820467200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2905 (or 2881 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 70820467200 in words is "seventy billion, eight hundred twenty million, four hundred sixty-seven thousand, two hundred".