7970400000 has 648 divisors, whose sum is σ = 30514328208. Its totient is φ = 2073600000.

The previous prime is 7970399993. The next prime is 7970400017. The reversal of 7970400000 is 40797.

It is a tau number, because it is divible by the number of its divisors (648).

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 71 ways as a sum of consecutive naturals, for example, 194399980 + ... + 194400020.

Almost surely, 2^7970400000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7970400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15257164104).

7970400000 is an abundant number, since it is smaller than the sum of its proper divisors (22543928208).

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

7970400000 is an frugal number, since it uses more digits than its factorization.

7970400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 7970400000 is about 89277.0967269882. The cubic root of 7970400000 is about 1997.5302848422.

Adding to 7970400000 its reverse (40797), we get a palindrome (7970440797).

The spelling of 7970400000 in words is "seven billion, nine hundred seventy million, four hundred thousand".