7197920640 has 384 divisors, whose sum is σ = 26364592800. Its totient is φ = 1806336000.

The previous prime is 7197920627. The next prime is 7197920647. The reversal of 7197920640 is 460297917.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7197920647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6848115 + ... + 6849165.

Almost surely, 2^7197920640 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 7197920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13182296400).

7197920640 is an abundant number, since it is smaller than the sum of its proper divisors (19166672160).

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

7197920640 is a wasteful number, since it uses less digits than its factorization.

7197920640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 7197920640 is about 84840.5601113053. The cubic root of 7197920640 is about 1930.7928624240.

The spelling of 7197920640 in words is "seven billion, one hundred ninety-seven million, nine hundred twenty thousand, six hundred forty".