7479864000 has 1120 divisors, whose sum is σ = 33830020224. Its totient is φ = 1592524800.

The previous prime is 7479863999. The next prime is 7479864001. The reversal of 7479864000 is 4689747.

It is an interprime number because it is at equal distance from previous prime (7479863999) and next prime (7479864001).

It is a tau number, because it is divible by the number of its divisors (1120).

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 (7479864001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 77111952 + ... + 77112048.

Almost surely, 2^7479864000 is an apocalyptic number.

7479864000 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 7479864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16915010112).

7479864000 is an abundant number, since it is smaller than the sum of its proper divisors (26350156224).

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

7479864000 is a wasteful number, since it uses less digits than its factorization.

7479864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 7479864000 is about 86486.2069927916. The cubic root of 7479864000 is about 1955.6804777482.

The spelling of 7479864000 in words is "seven billion, four hundred seventy-nine million, eight hundred sixty-four thousand".